Academic Information

• Professor, School of Mathematics, University of Minnesota, Twin Cities, academic years 2020–now.
• Associate Professor, School of Mathematics, University of Minnesota, Twin Cities, academic years 2015–2020.
• Assistant Professor, School of Mathematics, University of Minnesota, Twin Cities, academic years 2012–2015.
• Veblen Research Instructor, joint position of Department of Mathematics, Princeton University, and School of Mathematics, Institute for Advanced Study, academic years 2008–2012.
• Doctor of Philosophy, Department of Mathematics, Harvard University, academic years 2003–2008. (Advisor: Prof. Richard Taylor.)
  
• Master of Science, Department of Mathematics, National Taiwan University, academic years 1999–2001. (Advisor: Prof. Ki-Seng Tan.)
• Bachelor of Science, Department of Mathematics, National Taiwan University, academic years 1995–1999.

My professional activities have been partially supported by the Simons Fellowship in Mathematics; the Alfred P. Sloan Research Fellowship; NSF Grants DMS-1352216 (CAREER), DMS-1258962, DMS-1069154, and (via the IAS) DMS-0635607; the Qiu Shi Fellowship (at the IAS); and the Clay Liftoff Fellowship. Any opinions, findings, and conclusions or recommendations expressed in the supported works are those of mine and my collaborators, and do not necessarily reflect the views of the funding organizations.

• Personal notes are not listed. (Some talk slides or notes might be available in the section below on talks.)
• All documents listed, whether linked directly or not, are available upon request (unless otherwise specified). (Joint works might not be linked until I have obtained the approval from the coauthors.)
• Articles described as submitted might have gone through corrections/revisions since the dates of submissions. (The precise dates of submissions/revisions are not recorded here.)
• Please let me know if the links are broken. This should never happen. (I do not take files down when revising them.)
• Please feel free to send me corrections or questions if you notice anything wrong or confusing.

1. De Rham comparison and Poincaré duality for rigid varieties, with Ruochuan Liu and Xinwen Zhu, Peking Math. J. 6 (2023), pp. 143–216, 10.1007/s42543-020-00031-5.
2. Logarithmic adic spaces: some foundational results, with Hansheng Diao, Ruochuan Liu, and Xinwen Zhu, p-adic Hodge Theory, Singular Varieties, and Non-Abelian Aspects, Simons Symposia, pp. 65–182, Springer, 2023, doi:10.1007/978-3-031-21550-6_3.
3. Closed immersions of toroidal compactifications of Shimura varieties, Math. Res. Lett. 29 (2022), no. 2, pp. 487–527, doi:10.4310/MRL.2022.v29.n2.a8.
4. Logarithmic Riemann–Hilbert correspondences for rigid varieties, with Hansheng Diao, Ruochuan Liu, and Xinwen Zhu, J. Amer. Math. Soc. 36 (2023), no. 2, pp. 483–562, doi:10.1090/jams/1002.
5. Nearby cycles of automorphic étale sheaves, II, with Benoît Stroh, Cohomology of Arithmetic Groups: On the Occasion of Joachim Schwermer's 66th birthday, Bonn, Germany, June 2016, Springer Proceedings in Mathematics & Statistics, vol. 245, pp. 83–106, Springer, 2018, doi:10.1007/978-3-319-95549-0_4. Errata.
6. An example-based introduction to Shimura varieties, to appear in the proceedings of the ETHZ Summer School on Motives and Complex Multiplication.
7. Cohomology of automorphic bundles, Proceedings of the Seventh International Congress of Chinese Mathematicians, Volume I, Advanced Lectures in Mathematics, vol. 43, pp. 303–325, International Press, 2019.
8. Algebraic tori as degenerations of abelian varieties, with Junecue Suh, Mathematika 64 (2018), no. 2, pp. 303–329, doi:10.1112/S0025579317000420.
9. Compactifications of subschemes of integral models of Shimura varieties, with Benoît Stroh, Forum Math. Sigma 6 (2018), e18, 105 pp., doi:10.1017/fms.2018.20. Erratum.
10. Nearby cycles of automorphic étale sheaves, with Benoît Stroh, Compos. Math. 154 (2018), no. 1, pp. 80–119, doi:10.1112/S0010437X1700745X. Errata.
11. Vanishing theorems for coherent automorphic cohomology, Res. Math. Sci. 3 (2016), article no. 39, 43 pp., doi:10.1186/s40687-016-0085-6. Erratum. (MATLAB codes for computing vanishing degrees available upon request.)
12. Compactifications of splitting models of PEL-type Shimura varieties, Trans. Amer. Math. Soc. 370 (2018), no. 4, pp. 2463–2515, doi:10.1090/tran/7088. Errata.
13. Integral models of toroidal compactifications with projective cone decompositions, IMRN 2017 (2017), no. 11, pp. 3237–3280, doi:10.1093/imrn/rnw123. Errata.
14. Boundary strata of connected components in positive characteristics, an appendix to Families of nearly ordinary Eisenstein series on unitary groups by Xin Wan, Algebra Number Theory 9 (2015), no. 9, pp. 1955–2054, doi:10.2140/ant.2015.9.1955.
15. Compactifications of PEL-type Shimura varieties in ramified characteristics, Forum Math. Sigma 4 (2016), e1, 98 pp., doi:10.1017/fms.2015.31. Errata.
16. Higher Koecher's principle, Math. Res. Lett. 23 (2016), no. 1, pp. 163–199, doi:10.4310/MRL.2016.v23.n1.a9.
17. Relative cohomology of cuspidal forms on PEL-type Shimura varieties, with Benoît Stroh, Algebra Number Theory 8 (2014), no. 8, pp. 1787–1799, doi:10.2140/ant.2014.8.1787.
18. On the rigid cohomology of certain Shimura varieties, with Michael Harris, Richard Taylor, and Jack Thorne, Res. Math. Sci. 3 (2016), article no. 37, 308 pp., doi:10.1186/s40687-016-0078-5, in the Special Collection in Honor of Robert F. Coleman.
19. Compactifications of PEL-type Shimura varieties and Kuga families with ordinary loci, World Scientific Publishing Co., Singapore, 2018. Errata. (For the preprint version missing the preface, see here.)
20. Geometric modular forms and the cohomology of torsion automorphic sheaves, Fifth International Congress of Chinese Mathematicians, AMS/IP Studies in Advanced Mathematics, vol. 51, part 1, pp. 183–208, American Mathematical Society and International Press, 2012.
21. Vanishing theorems for torsion automorphic sheaves on general PEL-type Shimura varieties, with Junecue Suh, Adv. Math. 242 (2013), pp. 228–286, doi:10.1016/j.aim.2013.04.004. Errata.
22. Dual BGG complexes for automorphic bundles, with Patrick Polo, Math. Res. Lett. 25 (2018), no. 1, pp. 85–141, doi:10.4310/MRL.2018.v25.n1.a5.
23. Vanishing theorems for torsion automorphic sheaves on compact PEL-type Shimura varieties, with Junecue Suh, Duke Math. J. 161 (2012), no. 6, pp. 1113–1170, doi:10.1215/00127094-1548452. Errata.
24. Liftability of mod p cusp forms of parallel weights, with Junecue Suh, IMRN 2011 (2011), no. 8, pp. 1870–1879, doi:10.1093/imrn/rnq145.
25. Elevators for degenerations of PEL structures, Math. Res. Lett. 18 (2011), no. 5, pp. 889–907, doi:10.4310/MRL.2011.v18.n5.a7. Errata.
26. Comparison between analytic and algebraic constructions of toroidal compactifications of PEL-type Shimura varieties, J. Reine Angew. Math. 664 (2012), pp. 163–228, doi:10.1515/CRELLE.2011.099. Errata.
27. Toroidal compactifications of PEL-type Kuga families, Algebra Number Theory 6 (2012), no. 5, pp. 885–966, doi:10.2140/ant.2012.6.885. Errata.
28. Arithmetic compactifications of PEL-type Shimura varieties, London Mathematical Society Monographs, vol. 36, Princeton University Press, Princeton, 2013. Errata.
29. Arithmetic compactifications of PEL-type Shimura varieties, Ph.D. thesis, Harvard University, May 20, 2008.
    1. Official double-spaced version submitted to Harvard University (for electronic publication on the ProQuest Dissertations & Theses Database).
    2. Single-spaced version compiled on May 21, 2008. (Almost identical to the above document.)
    3. Errata.
    4. Most recent revision (single-spaced) or (densely-spaced). (Corrections to typos and minor mistakes are incorporated at the time of compilation.) WARNING: The numbering of results in these documents are different from the official version. Nevertheless, it is consistent with that in the book published (see above) in London Mathematical Society Monographs. Please refer to that book.
30. Moduli schemes of elliptic curves, M.S. thesis, National Taiwan University, Jun 15, 2001. (The electronic document for this is no longer available.)

(Talks given in reading seminars are not listed.)

1. Some vanishing results for the rational completed cohomology of Shimura varieties:
   1. Automorphic Forms and Arithmetic Seminar, Columbia University, Dec 6, 2024.
   2. MIT Number Theory Seminar, Nov 19, 2024.
   3. Lecture series, National Center for Theoretic Sciences (NCTS), Taiwan, Aug 5–9, 2024.
   4. Intensive lecture series, Kyoto University, Jun 24–27, 2024.
   5. Sendai Spring Conference on Automorphic Forms, Tohoku University, Jun 23, 2024.
   6. Mathematics Seminar (Colloquium), Tokyo Denki University, Jun 19, 2024.
   7. Seminar on Number Theory and Automorphic Forms, Osaka University, Jun 14, 2024.
   8. Colloquium and Number Theory Seminar, Beijing International Center for Mathematical Research, May 21 and 22, 2024.
   9. Stanford Number Theory Seminar, Mar 4, 2024.
2. Boundary cohomology of well-positioned subschemes of integral models of Shimura varieties:
   1. Workshop on Shimura Varieties, Representation Theory and Related Topics, University of Tokyo, Oct 11, 2024.
   2. BIMSA–YMSC Tsinghua Number Theory Seminar, May 27, 2024.
   3. Number Theory Seminar, SUSTech, Shenzhen, Dec 27, 2023.
   4. Princeton / IAS Number Theory Seminar, Nov 30, 2023.
3. De Rham comparison for boundary cohomology:
   1. Mini-Workshop on Arithmetic and Geometry of Moduli Spaces, Kyoto University, Jul 7, 2024.
   2. Peking Mathematical Journal Conference, Beijing International Center for Mathematical Research, May 17, 2024.
   3. NCTS Number Theory Special Day (at National Taiwan University), Jun 1, 2023.
4. Ideally logarithmic smooth morphisms and higher direct images:
   1. Morningside Center of Mathematics, Chinese Academy of Sciences, May 22, 2024.
   2. 2023 Arithmetic Geometry Special Day, Academia Sinica, May 26, 2023.
5. A p-adic new proof of some classical vanishing theorems, NCTS Seminar on Arithmetic Geometry and Representation Theory (at Academia Sinica and National Taiwan University), Jan 6, 2020.
6. Closed immersions of toroidal compactifications of Shimura varieties:
   1. NCTS Seminar on Arithmetic Geometry and Representation Theory (at Academia Sinica and National Taiwan University), Dec 30, 2019.
   2. Morningside Center of Mathematics, Academy of Mathematics and Systems Science, Chinese Academy of Sciences, May 31, 2019.
7. Cohomology of Shimura varieties and Hodge–Tate weights:
   1. Quebec–Vermont Number Theory Seminar, Mar 10, 2022.
   2. Algebra–Number Theory Seminar, University of Maryland, Mar 29, 2021.
   3. The Legacy of Élie Cartan, Tsinghua Sanya International Mathematics Forum, Dec 17, 2019.
   4. NCTS Seminar on Arithmetic Geometry and Representation Theory (at Academia Sinica and National Taiwan University), Jan 4, 2019.
   5. Morningside Center of Mathematics, Academy of Mathematics and Systems Science, Chinese Academy of Sciences, Dec 21, 2018.
8. De Rham comparison and Poincaré duality for rigid varieties:
   1. Workshop on Shimura Varieties, Representation Theory and Related Topics, Hokkaido University, Jul 15, 2019.
   2. International Congress of Chinese Mathematicians, Beijing, Jun 12, 2019.
   3. NCTS Seminar on Arithmetic Geometry and Representation Theory (at Academia Sinica and National Taiwan University), Jan 3, 2019.
   4. Morningside Center of Mathematics, Academy of Mathematics and Systems Science, Chinese Academy of Sciences, Dec 21, 2018.
9. Logarithmic Riemann–Hilbert correspondences for rigid varieties (and applications to Shimura varieties):
   1. Berkeley RTG Workshop 2022, May 2 and 3, 2022.
   2. NCTS Seminar on Arithmetic Geometry and Representation Theory (at Academia Sinica and National Taiwan University), Dec 25, 2018.
   3. Morningside Center of Mathematics, Academy of Mathematics and Systems Science, Chinese Academy of Sciences, Dec 19, 2018.
   4. KIAS (Korea Institute for Advanced Study) Intensive Lecture Series, with Ruochuan Liu and Xinwen Zhu, Aug 6–10, 2018.
10. Local systems over Shimura varieties: a comparison between two constructions:
    1. Number Theory Seminar, Stanford University, Feb 3, 2020.
    2. Princeton University / IAS Number Theory Seminar, Nov 14, 2019.
    3. Northwestern Number Theory Seminar, Nov 8, 2019.
    4. University of Chicago Number Theory Seminar, Nov 7, 2019.
    5. Harvard Number Theory Seminar, March 27, 2019.
    6. Arithmetic of Shimura Varieties, Oberwolfach, Jan 15, 2019. Extended abstract, Oberwolfach Rep. 16 (2019), no. 1, pp. 65–131, doi: 10.4171/OWR/2019/2.
    7. Annual Meeting of International Consortium of Chinese Mathematicians, National Taiwan University, Dec 28, 2018.
    8. Morningside Center of Mathematics, Academy of Mathematics and Systems Science, Chinese Academy of Sciences, Dec 19, 2018.
    9. Automorphic Forms, Representations of Lie Groups and Several Complex Variables, Hua Loo-Keng Center for Mathematical Sciences, Academy of Mathematics and Systems Science, Chinese Academy of Sciences, Jul 13, 2018.
    10. The Joint International Meeting of the Chinese Mathematical Society and the American Mathematical Society, Fudan University, Jun 11, 2018.
    11. Arithmetic Geometry and Related Topics, Ehime University, Nov 22, 2017.
    12. Automorphic Forms and Arithmetic Seminar, Columbia University, Oct 13, 2017.
    13. Automorphic Forms and Representation Theory Seminar, Purdue University, Aug 24, 2017.
11. Compactifications of subschemes of integral models of Shimura varieties:
    1. Workshop on Shimura Varieties, Representation Theory and Related Topics, Kyoto, Nov 25, 2016.
    2. Number Theory Seminar, Beijing International Center for Mathematical Research, Jan 14, 2016.
12. Nearby cycles of automorphic étale sheaves:
    1. Caltech Number Theory Seminar, Sep 12, 2019.
    2. University of Chicago Number Theory Seminar, May 8, 2018.
    3. Northwestern Number Theory Seminar, May 7, 2018.
    4. Special Cycles on Shimura Varieties and Iwasawa Theory, Bernoulli Center, EPFL, Aug 29, 2017.
    5. Johns-Hopkins–University of Maryland Algebra & Number Theory Day, Apr 15, 2017.
    6. From Number Theory to Arithmetic Geometry, National Taiwan University, Dec 26, 2016.
    7. Conference on the Cohomology of Arithmetic Groups on the occasion of Joachim Schwermer's 66th birthday, MPI, Bonn, Jun 10, 2016.
    8. Morningside Center of Mathematics, Academy of Mathematics and Systems Science, Chinese Academy of Sciences, Dec 18, 2015.
13. Compactifications of splitting models of PEL-type Shimura varieties:
    1. 2016 Workshop on Number Theory, Morningside Center of Mathematics, Academy of Mathematics and Systems Science, Chinese Academy of Sciences, Aug 2, 2016.
    2. Journées arithmétiques à Lyon, June 12, 2015.
14. Vanishing theorems for coherent automorphic cohomology:
    1. Group, Lie and Number Theory Seminar, University of Michigan, Oct 5, 2015.
    2. Frontiers in Serre's Modularity Conjecture: Torsion and Low Weights, Luxembourg, Jun 18, 2015.
    3. Arithmetic Geometry and Automorphic Representations, ESI, Vienna, May 20, 2015.
    4. Lie Theory Seminar, University of Minnesota, Twin Cities, Mar 27 and Apr 3, 2015.
15. Higher Koecher's principle:
    1. Automorphic Forms, Shimura Varieties, Galois Representations and L-Functions (a workshop in honor of Michael Harris), MSRI, Dec 2, 2014. Video
    2. Stanford/AIM Number Theory Seminar, Nov 7, 2014.
    3. Lie Theory Seminar, University of Minnesota, Twin Cities, Oct 17 and 24, 2014.
    4. Pan Asia Number theory (ICM satellite conference), POSTECH, Pohang, South Korea, Aug 8, 2014.
16. Compactifications of PEL-type Shimura varieties in ramified characteristics:
    1. Morningside Center of Mathematics, Academy of Mathematics and Systems Science, Chinese Academy of Sciences, Dec 18, 2015.
    2. p-adic Methods in the Theory of Classical Automorphic Forms, CRM, Montréal, Mar 12, 2015.
    3. University of Chicago Number Theory Seminar, Feb 24, 2015.
    4. Caltech Number Theory Seminar, Jan 15, 2015.
    5. NCTS/TPE Seminar on Arithmetic Geometry and Representation Theory (at Academia Sinica and National Taiwan University), July 28, 2014.
17. An example-based introduction to Shimura varieties and their compactifications:
    1. Automorphic Forms, Representations of Lie Groups and Several Complex Variables, Hua Loo-Keng Center for Mathematical Sciences, Academy of Mathematics and Systems Science, Chinese Academy of Sciences, Jul 6, 2018.
    2. Motives and Complex Multiplication, Ascona, Switzerland, minicourse, Aug 15–17, 2016.
    3. Introductory Workshop: New Geometric Methods in Number Theory and Automorphic Forms, MSRI, 3 lectures, Aug 18–20, 2014. Videos: 1 2 3
    4. NCTS/TPE Seminar on Arithmetic Geometry and Representation Theory (at Academia Sinica and National Taiwan University), July 28, 2014.
18. Galois representations for regular algebraic (cuspidal) automorphic forms/representations over CM fields:
    1. Number Theory–Representation Theory Seminar, University of Wisconsin, Madison, Mar 7, 2013.
    2. Number Theory Seminar, University of North Carolina, Chapel Hill, Mar 5, 2013.
    3. Arithmetic and Geometry, Hausdorff Trimester Program, Bonn, Jan 31 and Feb 1, 2013.
    4. Stanford/AIM Number Theory Seminar, Jan 18, 2013.
    5. University of Chicago Number Theory Seminar, Oct 9, 2012.
    6. Lie Theory Seminar, University of Minnesota, Twin Cities, Oct 5 and 12, 2012.
    7. NCTS/TPE Seminar on Arithmetic Geometry (at National Taiwan University), Aug 9, 2012.
    8. Workshop on the Arithmetic Geometry of Shimura Varieties, Representation Theory, and Related Topics, Sapporo, Jul 21, 2012.
19. Compactifications of PEL-type Shimura varieties and Kuga families with ordinary loci:
    1. Arithmetic Algebraic Geometry, Paderborn, Oct 11, 2013.
    2. NCTS Seminar on Arithmetic Geometry and Representation Theory (at Academia Sinica and National Taiwan University), 8 lectures, Jul 23, 25, 29, and 31, 2013.
    3. International Congress of Chinese Mathematicians, Taipei, Jul 16, 2013.
    4. p-adic Modular Forms, L-functions, and Galois representations, UCLA, May 11, 2013.
    5. Higher Rank Automorphic Forms and L-functions, University of Warwick, May 2, 2013.
    6. Northwestern Number Theory Seminar, Apr 22, 2013.
    7. Princeton University / IAS Number Theory Seminar, Feb 21, 2013.
    8. Algebra Seminar, Michigan State University, Oct 31, 2012.
    9. NCTS/TPE Seminar on Arithmetic Geometry (at National Taiwan University), Aug 9, 2012.
    10. Seminar on Arithmetic Geometry, Hokkaido University, 2 lectures, Jul 30, 2012; continuation of the following workshop lecture.
    11. Workshop on the Arithmetic Geometry of Shimura Varieties, Representation Theory, and Related Topics, Sapporo, Jul 19, 2012.
    12. Workshop on Arithmetic Geometry and Representation Theory, HKUST IAS, Hong Kong, Dec 28, 2011.
20. Kodaira-type vanishing on good reduction fibers of Shimura varieties:
    1. Workshop on the Arithmetic Geometry of Shimura Varieties and Rapoport-Zink Spaces, Kyoto University, Jul 8, 2011.
    2. NCTS Number Theory Seminar, Hsinchu, Taiwan, Jun 28, 2011.
    3. Caltech Number Theory Seminar, May 31, 2011.
21. Geometric modular forms in higher dimensions:
    1. Colloquium, UC Santa Cruz, May 9, 2017.
    2. Colloquium, Cornell University, Feb 8, 2011.
    3. Special Colloquium, UC Irvine, Jan 18, 2011.
    4. Colloquium, McMaster University, Jan 10, 2011.
    5. Colloquium, University of Minnesota, Twin Cities, Dec 7, 2010.
    6. Colloquium, Boston College, Nov 30, 2010.
22. Vanishing theorems for torsion automorphic sheaves (on general PEL-type Shimura varieties):
    1. Seminar on Arithmetic Geometry, Hokkaido University, 2 lectures, July 17, 2012.
    2. Workshop on Cohomology of Shimura Varieties: Arithmetic Aspects and The Construction of Galois Representations, Fields Institute, Mar 23, 2012.
    3. Quebec-Vermont Number Theory Seminar, Feb 2, 2012.
    4. 2011 NCTS International Conference on Galois Representations, Automorphic Forms and Shimura Varieties, Hsinchu, Taiwan, Jun 20, 2011.
    5. Caltech Number Theory Seminar, May 26, 2011.
    6. Automorphic Forms and Representation Theory Seminar, Purdue University, Mar 31, 2011.
    7. Workshop on Automorphic Forms and Shimura Varieties, Columbia University, Mar 19, 2011.
    8. Boston University Number Theory Seminar, Jan 28, 2011.
    9. Lie Groups and Representation Theory Seminar, University of Maryland, Jan 26, 2011.
    10. International Congress of Chinese Mathematicians, Tsinghua University, Beijing, Dec 19, 2010.
    11. Galois Representations and Automorphic Forms Seminar, Institute for Advanced Study, Dec 9, 2010.
    12. Bay Area Algebraic Number Theory and Arithmetic Geometry Day I (special day of Stanford/AIM Number Theory Seminar), Nov 6, 2010.
    13. BC-MIT Number Theory Seminar, Sep 21, 2010.
    14. Number Theory Seminar, Academia Sinica, Jul 20, 2010; continuation of the following workshop lecture.
    15. Workshop on Arithmetic Geometry and Related Topics, Taipei, Jul 14, 2010.
    16. University of Chicago Number Theory Seminar, Apr 9, 2010.
    17. Members Seminar, Institute for Advanced Study, Apr 5, 2010.
23. Liftability of mod p cusp forms of regular weights, GCOE Number Theory Joint Seminar, Kyoto University, Dec 4, 2009.
24. Vanishing theorems for torsion automorphic sheaves (on compact PEL-type Shimura varieties):
    1. Northwestern Number Theory Seminar, Feb 22, 2010.
    2. Number Theory / Representation Theory Seminar, University of Toronto, Jan 27, 2010.
    3. Workshop on Arithmetic Geometry in Kanazawa, Nov 24, 2009.
25. Analytic coordinates for degenerations of PEL structures, NCTS/TPE (at National Taiwan University), Aug 3, 6, and 10, 2009.
26. Elevators for degenerations of PEL structures, Workshop on Automorphic Representations, Geometry, and Arithmetic, Taipei, Jul 22, 2009.
27. Cohomology of automorphic bundles / Coherent cohomology of automorphic bundles:
    1. International Congress of Chinese Mathematicians, Beijing, Aug 8, 2016.
    2. Number Theory Seminar, Beijing International Center for Mathematical Research, 4 lectures, Dec 15, 16, 21, and 23, 2015.
    3. Short Talks by Postdoctoral Members, Institute for Advanced Study, Sep 29, 2009.
    4. Mini-course at NCTS/TPE (at National Taiwan University), Dec 16, 24, and 30, 2008.
28. Toroidal compactifications of certain Kuga families / Extensions (of various structures) over toroidal boundaries of Shimura varieties:
    1. Stanford/AIM Number Theory Seminar, May 8, 2009.
    2. Princeton University / IAS Number Theory Seminar, Apr 23, 2009.
    3. Algebra and Number Theory Seminar, University of Maryland, Feb 16, 2009.
    4. Algebra Seminar, University of Pennsylvania, Feb 2, 2009.
    5. Workshop on Shimura Varieties, Automorphic Representations and Related Topics, Kyoto, Nov 27, 2008.
    6. Group, Lie and Number Theory Seminar, University of Michigan, Nov 10, 2008.
    7. Joint Columbia-CUNY-NYU Number Theory Seminar, Oct 2, 2008.
29. Arithmetic compactifications of (general) PEL-type Shimura varieties:
    1. Shimura Varieties and Trace Formula Seminar, Institute for Advanced Study, Oct 31 and Nov 3, 2008.
    2. Algebra Seminar, Michigan State University, Apr 15, 2008.
    3. Number Theory and Representation Theory Seminar, University of Michigan, Apr 14, 2008.
    4. Number Theory Seminar, Harvard University, Mar 19, 2008.
    5. Seminar on Automorphic Forms and Galois Representations, Princeton University, Feb 6, 2008.
    6. Department Colloquium, Indiana University, Feb 1, 2008.
    7. KIAS (Korea Institute for Advanced Study), 4 lectures, Jan 14–15, 2008.
    8. Number Theory Seminar, Academia Sinica, 4 lectures, Jan 2–3, 2008.
    9. Seminar on Arithmetic Geometry, Hokkaido University, 4 lectures, Aug 28–29, 2007.
    10. Mini-Workshop on Automorphic Representations and Shimura Varieties, Kyoto, May 31, 2007. (Full-day informal seminar, May 29, 2007.)
    11. Algebraic Geometry Seminar, NCTS/TPE (at National Taiwan University), Jan 2, 2007.
30. Arithmetic compactifications of Shimura varieties associated to certain unitary groups:
    1. Caltech Number Theory Seminar, Sep 7, 2006.
    2. Lecture series, National Taiwan University, May 23 and 30, and Jun 6, 2006.

• University of Minnesota, Twin Cities:
  • Math 4242: Applied Linear Algebra, Fall 2012 (sections 010 and 060), Fall 2021 (section 030).
  • Math 5248: Cryptology and Number Theory, Fall 2020 (section 002), Fall 2022 (section 002), Fall 2023 (section 002).
  • Math 8207/5208: Theory of Modular Forms and L-Functions, Fall 2023/Spring 2024.
  • Math 8251/8252: Algebraic Number Theory, Fall 2020/Spring 2021, Fall 2024/Spring 2025.
  • Math 8253/8254: Algebraic Geometry, Fall 2013/Spring 2014, Fall 2018/Spring 2019, Fall 2021/Spring 2022.
  • Math 8270: Topics in Algebraic Geometry: Abelian Schemes and Their Moduli, Spring 2015 (with a related reading seminar).
  • Math 8271/8272: Lie Groups and Lie Algebras, Fall 2016/Spring 2017, Fall 2017/Spring 2018, Fall 2022/Spring 2023.
  • Math 8280: Topics in Number Theory: Automorphic and Galois Representations, Spring 2016 (section 001) (with a related reading seminar).
  • UROP/Directed Study/Senior Project/Honors Thesis: Feel free to contact me if you are interested.
  • MathCEP/UMTYMP.
  (If you are not officially enrolled in the courses, but still want to have access to the course pages, please feel free to contact me.)
• Princeton University:
  • MAT 202: Linear Algebra With Applications, Spring 2009 (2 sections).
  • MAT 203: Advanced Multivariable Calculus, Fall 2008 (2 sections), Fall 2010 (2 sections), Spring 2011 (1 section and 1 review, coursehead), Fall 2011 (2 sections).
  • MAT 204: Advanced Linear Algebra with Applications, Spring 2012 (coursehead).
• Harvard University:
  • Math 21a: Multivariable Calculus, Fall 2004, Fall 2005, Fall 2006, Spring 2008 (2 sections).
  • Math 99r: Tutorial on Binary Quadratic Forms (with Chung Pang Mok), Fall 2005.
• National Taiwan University: Differential Geometry (as a teaching assistant), Fall 2000.

• New Tools in the Local and Global Langlands Programs, BIRS and IASM, Hangzhou, Jul 27–Aug 1, 2025.
• Simons Collaboration on Perfection Algebra, Geometry and Topology Annual Meeting, Mar 13–14, 2025.
• Workshop on Shimura Varieties, Representation Theory and Related Topics, University of Tokyo, Oct 7–11, 2024.
• Mini-Workshop on Arithmetic and Geometry of Moduli Spaces, Kyoto University, Jul 6–7, 2024.
• Sendai Spring Conference on Automorphic Forms, Tohoku University, June 21–23, 2024.
• Summer School and Workshop on Relative Langlands Duality, University of Minnesota, Twin Cities, Jun 3–8, 2024; co-organized with Tsao-Hsien Chen, Dihua Jiang, David Nadler, and Lingfei Yi.
• p-adic Day, Beijing International Center for Mathematical Research, May 24, 2024.
• Peking Mathematical Journal Conference, Beijing International Center for Mathematical Research, May 17–19, 2024.
• Simons Collaboration on Perfection Algebra, Geometry and Topology Annual Meeting, Mar 7–8, 2024.
• Conference on Global Langlands, Shimura Varieties, and Shtukas, Hausdorff Trimester Program, Bonn, Aug 7–11, 2023.
• Conference on Local Langlands and p-adic Methods, Hausdorff Trimester Program, Bonn, Jun 12–16, 2023.
• The Arithmetic of the Langlands Program, Hausdorff Trimester Program, Bonn, May 2–Aug 18, 2023.
• Arithmetic of Shimura Varieties, Oberwolfach, Jan 29–Feb 4, 2023.
• Berkeley RTG Workshop 2022, May 2–6, 2022.
• 2021 Fields Medal Symposium: Peter Scholze, Fields Institute (online), Oct 25–29, 2021.
• Theta Series: Representation Theory, Geometry, and Arithmetic, a conference in honor of the 70th birthday of Steve Kudla, Fields Institute (online), Jul 5–9, 2021.
• Conference on Arithmetic Geometry in honor of Luc Illusie, virtual conference, Jun 7–11, 2021.
• Swinnerton-Dyer Memorial, Isaac Newton Institute for Mathematical Sciences (online), Cambridge, May 17–20, 2021.
• Higher Coleman theory and applications, CRM (online), Montréal, Dec 7–11, 2020.
• Workshop on Serre weights conjectures and geometry of Shimura varieties, CRM (online), Montréal, Aug 31–Sep 14, 2020.
• The Eighth Pacific Rim Conference in Mathematics, Berkeley (online), Aug 3–11, 2020.
• Cross Atlantic Representation Theory and Other topics ONline, May 29–31, 2020.
• Conference on Representation Theory and Algebraic Analysis, in honor of Joseph Bernstein on the occasion of his 75th birthday, Weizmann Institute of Science (online), May 11–14, 2020.
• Western Algebraic Geometry Online, a virtual edition of WAGS, Apr 18–19, 2020.
• The Legacy of Élie Cartan, Tsinghua Sanya International Mathematics Forum, Dec 16–20, 2019.
• 2019 MPS Annual Meeting, Simons Foundation, Oct 17–18, 2019.
• Workshop on Shimura Varieties, Representation Theory and Related Topics, Hokkaido University, Jul 15–19, 2019.
• International Congress of Chinese Mathematicians, Beijing, Jun 9–14, 2019.
• Arithmetic of Shimura Varieties, Oberwolfach, Jan 13–19, 2019.
• Annual Meeting of International Consortium of Chinese Mathematicians, National Taiwan University, Dec 27–29, 2018.
• Sixth Abel Conference: A Mathematical Celebration of Robert P. Langlands, IMA, Nov 14–16, 2018.
• Yamabe Memorial Symposium: Moduli Spaces in Algebraic Geometry, University of Minnesota, Twin Cities, Sep 28–30, 2018.
• KIAS Intensive Lecture Series: Logarithmic Riemann–Hilbert correspondences for rigid varieties and applications to Shimura varieties, Aug 6–10, 2018
• Automorphic Forms, Representations of Lie Groups and Several Complex Variables, Hua Loo-Keng Center for Mathematical Sciences, Academy of Mathematics and Systems Science, Chinese Academy of Sciences, Jul 5–13, 2018.
• The Joint International Meeting of the Chinese Mathematical Society and the American Mathematical Society, Fudan University, Jun 11–14, 2018.
• Mathematics is a long conversation: a celebration of Barry Mazur, Harvard University, Jun 4–8, 2018.
• Arithmetic Geometry and Related Topics, Ehime University, Nov 20–22, 2017.
• Special Cycles on Shimura Varieties and Iwasawa Theory, Bernoulli Center, EPFL, Aug 28–Sep 1, 2017.
• Local Cohomology in Commutative Algebra and Algebraic Geometry, on the occasion of Gennady Lyubeznik's 60th birthday, University of Minnesota, Aug 7–11, 2017.
• P-adic Hodge Theory and Automorphic Forms, Beijing International Center for Mathematical Research, Jun 5–9, 2017.
• Arizona Winter School on Perfectoid Spaces, Tucson, Mar 11–15, 2017.
• From Number Theory to Arithmetic Geometry, National Taiwan University, Dec 26, 27, and 30, 2016.
• Workshop on Shimura Varieties, Representation Theory and Related Topics, Kyoto, Nov 21–25, 2016.
• Motives and Complex Multiplication, Ascona, Switzerland, Aug 15–19, 2016.
• International Congress of Chinese Mathematicians, Beijing, Aug 6–11, 2016.
• 2016 Workshop on Number Theory, Morningside Center of Mathematics, Academy of Mathematics and Systems Science, Chinese Academy of Sciences, Aug 2–4, 2016.
• L-functions and Arithmetic, a conference in honor of the 60th Birthday of Karl Rubin, Harvard University, Jun 13–16, 2016.
• Conference on the Cohomology of Arithmetic Groups on the occasion of Joachim Schwermer's 66th birthday, MPI, Bonn, Jun 6–10, 2016.
• 2016 AS-NCTS Workshop on Shimura Varieties and Related Topics, Taipei, May 30–Jun 3, 2016; co-organized with Xuhua He and Chia-Fu Yu.
• 2016 NCTS Summer School on Shimura Varieties and Related Topics, Taipei, May 23–27, 2016; co-organized with Xuhua He and Chia-Fu Yu.
• Reductions of Shimura Varieties, Oberwolfach, Aug 23–29, 2015.
• Frontiers in Serre's Modularity Conjecture: Torsion and Low Weights, Luxembourg, Jun 15–19, 2015.
• Journées arithmétiques à Lyon, June 10–12, 2015.
• p-adic Methods in Number Theory—A Conference Inspired by the Mathematics of Robert Coleman, Berkeley, May 26–30, 2015.
• Arithmetic Geometry and Automorphic Representations, ESI, Vienna, Apr 7–May 29, 2015. (I participated only during May 10–21, 2015.)
• p-adic Methods in the Theory of Classical Automorphic Forms, CRM, Montréal, Mar 9–14, 2015.
• Automorphic Forms, Shimura Varieties, Galois Representations and L-Functions (a workshop in honor of Michael Harris), MSRI, Dec 1–5, 2014.
• Categorical Structures in Harmonic Analysis, MSRI, Nov 17–21, 2014.
• Introductory Workshop: New Geometric Methods in Number Theory and Automorphic Forms, MSRI, Aug 18–22, 2014.
• New Geometric Methods in Number Theory and Automorphic Forms, MSRI, Aug 11–Dec 12, 2014. (I participated only during Aug 17–23, Nov 2–21, and Nov 30–Dec 12, 2014.)
• Pan Asia Number theory (ICM satellite conference), POSTECH, Pohang, South Korea, Aug 5–9, 2014.
• p-adic Variation in Number Theory (in honor of Glenn Stevens' 60th Birthday), Boston University, Jun 2–6, 2014.
• Hot Topics: Perfectoid Spaces and their Applications, MSRI, Feb 17–21, 2014.
• Arithmetic Algebraic Geometry, Paderborn, Oct 7–11, 2013.
• International Congress of Chinese Mathematicians, Taipei, July 14–19, 2013.
• p-adic Modular Forms, L-functions, and Galois representations, UCLA, May 10–12, 2013.
• Higher Rank Automorphic Forms and L-functions, University of Warwick, Apr 29–May 3, 2013.
• Arithmetic and Geometry, Hausdorff Trimester Program, Bonn, Jan 2–Apr 19, 2013. (I participated only during Jan 29–Feb 9, 2013.)
• Workshop on the Arithmetic Geometry of Shimura Varieties, Representation Theory, and Related Topics, Sapporo, Jul 18–22, 2012.
• p-adic Modular Forms and Arithmetic (a Conference in Honor of Haruzo Hida on His 60th Birthday), UCLA, Jun 18–23, 2012.
• Workshop on Cohomology of Shimura Varieties: Arithmetic Aspects and the Construction of Galois Representations, Fields Institute, Mar 19–23, 2012.
• Workshop on Arithmetic Geometry and Representation Theory, HKUST IAS, Hong Kong, Dec 15, 2011–Jan 15, 2012. (I participated only during Dec 18, 2011–Jan 8, 2012.)
• Periods of Automorphic Forms and Applications to L-Functions, Columbia University, Sep 15–18, 2011.
• Theta Festival, POSTECH, Pohang, South Korea, Aug 13–19, 2011.
• Workshop on the Arithmetic Geometry of Shimura Varieties and Rapoport-Zink Spaces, Kyoto University, Jul 4–8, 2011.
• 2011 NCTS International Conference on Galois Representations, Automorphic Forms and Shimura Varieties, Hsinchu, Taiwan, Jun 20–23, 2011.
• Workshop on Galois Representations and Automorphic Forms, IAS, Mar 21–25, 2011.
• Workshop on Automorphic Forms and Shimura Varieties, Columbia University, Mar 18–20, 2011.
• International Congress of Chinese Mathematicians, Tsinghua University, Beijing, Dec 17–22, 2010.
• Galois Representations and Automorphic Forms, IAS, Sep 20, 2010–Apr 8, 2011.
• Workshop on Arithmetic Geometry and Related Topics, Taipei, Jul 12–16, 2010; co-organized with Ming-Lun Hsieh and Jeng-Daw Yu.
• Modular/Geometric Iwasawa Theory and p-adic L-functions, UCLA, Jun 14–20, 2010.
• Number Theory and Representation Theory, a conference in honor of the 60th birthday of Benedict Gross, Harvard University, Jun 2–5, 2010.
• Workshop on Arithmetic Geometry in Kanazawa, Nov 24–27, 2009.
• Workshop on Automorphic Representations, Geometry, and Arithmetic, Taipei, Jul 21–24, 2009; co-organized with Chia-Fu Yu and Jeng-Daw Yu.
• Clay Mathematics Institute Summer School on Galois Representations, University of Hawaii at Manoa, Honolulu, Hawaii, Jun 15–Jul 10, 2009.
• Workshop on Shimura Varieties, Automorphic Representations and Related Topics, Kyoto, Nov 25–28, 2008.
• Représentation p-adiques des groupes p-adiques, Jussieu, Paris, Jul 7–12, 2008.
• Modular Forms and Arithmetic, MSRI, Jun 28–Jul 2, 2008.
• Current Developments and Directions in the Langlands Program, Northwestern University, May 10–14, 2008.
• Recent Developments in Number Theory: Selmer Groups, L-functions, and Galois Deformations, UCLA, Mar 24–29, 2008.
• Algebraic and Arithmetic Structures of Moduli Spaces, Sapporo, Sep 3–7, 2007.
• Summer School on Serre's Modularity Conjecture, Luminy, Jul 9–20, 2007
• Mini-Workshop on Automorphic Representations and Shimura Varieties, Kyoto, May 30–31, 2007. (Informal seminars, May 28–29, 2007.)
• Arizona Winter School on p-adic geometry, Tucson, Mar 10–14, 2007.
• Workshop on the Representation Theory of Reductive Algebraic Groups, Ottawa, Jan 18–21, 2007.
• Hot Topics: Modularity for GL(2) and Beyond, MSRI, Oct 30–Nov 3, 2006.
• Clay Mathematics Institute Summer School on Arithmetic Geometry, Göttingen, Jul 17–Aug 11, 2006. (I attended only the lectures in the last week, Aug 6–11, 2006.)
• Asian-French Summer School in Algebraic Geometry and Number Theory: Motives and related topics, IHES, Jul 17–29, 2006.
• Instructional Workshop: Automorphic Galois Representations, L-functions and Arithmetic, Columbia University, Jun 17–22, 2006.
• Special Program on Eigenvarieties, Harvard University, Spring 2006.
• Intersection of Arithmetic Cycles and Automorphic Forms, Montréal, Dec 12–16, 2005. Link 1 Link 2

• Foreign Language Glossaries: French, German. These are prepared primarily for reading mathematical texts, which also seemed to be helpful for the foreign language exams when I was at Harvard.