- Number theory
- Automorphic forms
- Geometry and cohomology of Shimura varieties and their compactifications
- Relations between the above

- Associate Professor, School of Mathematics, University of Minnesota, Twin Cities, academic years 2015–now.
- 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.

- Simons Fellowship in Mathematics, academic years 2019–2020.
- Alfred P. Sloan Research Fellowship, academic years 2014–2018.
- NSF Grant DMS-1352216 (CAREER) (PI), academic years 2014–2020.
- NSF Grant DMS-1258962 (PI), academic years 2012–2014.
- NSF Grant DMS-1069154 (PI), academic years 2011–2012.
- NSF Grant DMS-0635607 (through membership at the Institute for Advanced Study) and Qiu Shi Fellowship at the Institute for Advanced Study in Princeton, academic year 2009–2010.
- Clay Liftoff Fellowship, Summer 2008.

- 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.

*Closed immersions of toroidal compactifications of Shimura varieties*, preprint.*Logarithmic Riemann–Hilbert correspondences for rigid varieties*, with Hansheng Diao, Ruochuan Liu, and Xinwen Zhu, submitted.*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 International Publishing, 2018, doi:10.1007/978-3-319-95549-0_4.*An example-based introduction to Shimura varieties*, to appear in the proceedings of the ETHZ Summer School on Motives and Complex Multiplication.*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.*Algebraic tori as degenerations of abelian varieties*, with Junecue Suh, Mathematika 64 (2018), no. 2, pp. 303–329, doi:10.1112/S0025579317000420.*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.*Nearby cycles of automorphic étale sheaves*, with Benoît Stroh, Compos. Math. 154 (2018), no. 1, pp. 80–119, doi:10.1112/S0010437X1700745X. Errata.*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.)*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. Erratum.*Integral models of toroidal compactifications with projective cone decompositions*, IMRN 2017 (2017), no. 11, pp. 3237–3280, doi:10.1093/imrn/rnw123. Errata.*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.*Compactifications of PEL-type Shimura varieties in ramified characteristics*, Forum Math. Sigma 4 (2016), e1, 98 pp., doi:10.1017/fms.2015.31. Errata.*Higher Koecher's principle*, Math. Res. Lett. 23 (2016), no. 1, pp. 163–199, doi:10.4310/MRL.2016.v23.n1.a9.*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.*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.*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.)*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.*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.*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.*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.*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.*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.*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.*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.*Arithmetic compactifications of PEL-type Shimura varieties*, London Mathematical Society Monographs, vol. 36, Princeton University Press, Princeton, 2013. Errata.*Arithmetic compactifications of PEL-type Shimura varieties*, Ph.D. thesis, Harvard University, May 20, 2008.- Official double-spaced version submitted to Harvard University (for electronic publication on the ProQuest Dissertations & Theses Database).
- Single-spaced version compiled on May 21, 2008. (Almost identical to the above document.)
- Errata.
- 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.

*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.)

- 2020 Winter School on Geometry and Arithmetic of Shimura Varieties, Morningside Center of Mathematics, Mar 2–6, 2020.
*Closed immersions of toroidal compactifications of Shimura varieties*, Morningside Center of Mathematics, Academy of Mathematics and Systems Science, Chinese Academy of Sciences, May 31, 2019.*Cohomology of Shimura varieties and Hodge–Tate weights*:- The Legacy of Élie Cartan, Tsinghua Sanya International Mathematics Forum, Dec 16–20, 2019.
- NCTS Seminar on Arithmetic Geometry and Representation Theory (at Academia Sinica and National Taiwan University), Jan 4, 2019.
- Morningside Center of Mathematics, Academy of Mathematics and Systems Science, Chinese Academy of Sciences, Dec 21, 2018.

*De Rham comparison and Poincaré duality for rigid varieties*:- Workshop on Shimura Varieties, Representation Theory and Related Topics, Hokkaido University, Jul 15, 2019.
- International Congress of Chinese Mathematicians, Beijing, Jun 12, 2019.
- NCTS Seminar on Arithmetic Geometry and Representation Theory (at Academia Sinica and National Taiwan University), Jan 3, 2019.
- Morningside Center of Mathematics, Academy of Mathematics and Systems Science, Chinese Academy of Sciences, Dec 21, 2018.

*Logarithmic Riemann–Hilbert correspondences for rigid varieties*(*and applications to Shimura varieties*):- NCTS Seminar on Arithmetic Geometry and Representation Theory (at Academia Sinica and National Taiwan University), Dec 25, 2018.
- Morningside Center of Mathematics, Academy of Mathematics and Systems Science, Chinese Academy of Sciences, Dec 19, 2018.
- KIAS (Korea Institute for Advanced Study) Intensive Lecture Series, with Ruochuan Liu and Xinwen Zhu, Aug 6–10, 2018.

*Local systems over Shimura varieties: a comparison between two constructions*:- Princeton University / IAS Number Theory Seminar, Nov 14, 2019.
- Northwestern Number Theory Seminar, Nov 8, 2019.
- University of Chicago Number Theory Seminar, Nov 7, 2019.
- Harvard Number Theory Seminar, March 27, 2019.
- Arithmetic of Shimura Varieties, Oberwolfach, Jan 15, 2019. Extended abstract, to appear in Oberwolfach Reports.
- Annual Meeting of International Consortium of Chinese Mathematicians, National Taiwan University, Dec 28, 2018.
- Morningside Center of Mathematics, Academy of Mathematics and Systems Science, Chinese Academy of Sciences, Dec 19, 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 13, 2018.
- The Joint International Meeting of the Chinese Mathematical Society and the American Mathematical Society, Fudan University, Jun 11, 2018.
- Arithmetic Geometry and Related Topics, Ehime University, Nov 22, 2017.
- Automorphic Forms and Arithmetic Seminar, Columbia University, Oct 13, 2017.
- Automorphic Forms and Representation Theory Seminar, Purdue University, Aug 24, 2017.

*Compactifications of subschemes of integral models of Shimura varieties*:- Workshop on Shimura Varieties, Representation Theory and Related Topics, Kyoto, Nov 25, 2016.
- Number Theory Seminar, Beijing International Center for Mathematical Research, Jan 14, 2016.

*Nearby cycles of automorphic étale sheaves*:- Caltech Number Theory Seminar, Sep 12, 2019.
- University of Chicago Number Theory Seminar, May 8, 2018.
- Northwestern Number Theory Seminar, May 7, 2018.
- Special Cycles on Shimura Varieties and Iwasawa Theory, Bernoulli Center, EPFL, Aug 29, 2017.
- Johns-Hopkins–University of Maryland Algebra & Number Theory Day, Apr 15, 2017.
- From Number Theory to Arithmetic Geometry, National Taiwan University, Dec 26, 2016.
- Conference on the Cohomology of Arithmetic Groups on the occasion of Joachim Schwermer's 66th birthday, MPI, Bonn, Jun 10, 2016.
- Morningside Center of Mathematics, Academy of Mathematics and Systems Science, Chinese Academy of Sciences, Dec 18, 2015.

*Compactifications of splitting models of PEL-type Shimura varieties*:- 2016 Workshop on Number Theory, Morningside Center of Mathematics, Academy of Mathematics and Systems Science, Chinese Academy of Sciences, Aug 2, 2016.
- Journées arithmétiques à Lyon, June 12, 2015.

*Vanishing theorems for coherent automorphic cohomology*:- Group, Lie and Number Theory Seminar, University of Michigan, Oct 5, 2015.
- Frontiers in Serre's Modularity Conjecture: Torsion and Low Weights, Luxembourg, Jun 18, 2015.
- Arithmetic Geometry and Automorphic Representations, ESI, Vienna, May 20, 2015.
- Lie Theory Seminar, University of Minnesota, Twin Cities, Mar 27 and Apr 3, 2015.

*Higher Koecher's principle*:- Automorphic Forms, Shimura Varieties, Galois Representations and L-Functions (a workshop in honor of Michael Harris), MSRI, Dec 2, 2014. Video
- Stanford/AIM Number Theory Seminar, Nov 7, 2014.
- Lie Theory Seminar, University of Minnesota, Twin Cities, Oct 17 and 24, 2014.
- Pan Asia Number theory (ICM satellite conference), POSTECH, Pohang, South Korea, Aug 8, 2014.

*Compactifications of PEL-type Shimura varieties in ramified characteristics*:- Morningside Center of Mathematics, Academy of Mathematics and Systems Science, Chinese Academy of Sciences, Dec 18, 2015.
*p*-adic Methods in the Theory of Classical Automorphic Forms, CRM, Montréal, Mar 12, 2015.- University of Chicago Number Theory Seminar, Feb 24, 2015.
- Caltech Number Theory Seminar, Jan 15, 2015.
- NCTS/TPE Seminar on Arithmetic Geometry and Representation Theory (at Academia Sinica and National Taiwan University), July 28, 2014.

*An example-based introduction to Shimura varieties and their compactifications*:- 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.
- Motives and Complex Multiplication, Ascona, Switzerland, minicourse, Aug 15–17, 2016.
- Introductory Workshop: New Geometric Methods in Number Theory and Automorphic Forms, MSRI, 3 lectures, Aug 18–20, 2014. Videos: 1 2 3
- NCTS/TPE Seminar on Arithmetic Geometry and Representation Theory (at Academia Sinica and National Taiwan University), July 28, 2014.

*Galois representations for regular algebraic*(*cuspidal*)*automorphic forms*/*representations over CM fields*:- Number Theory–Representation Theory Seminar, University of Wisconsin, Madison, Mar 7, 2013.
- Number Theory Seminar, University of North Carolina, Chapel Hill, Mar 5, 2013.
- Arithmetic and Geometry, Hausdorff Trimester Program, Bonn, Jan 31 and Feb 1, 2013.
- Stanford/AIM Number Theory Seminar, Jan 18, 2013.
- University of Chicago Number Theory Seminar, Oct 9, 2012.
- Lie Theory Seminar, University of Minnesota, Twin Cities, Oct 5 and 12, 2012.
- NCTS/TPE Seminar on Arithmetic Geometry (at National Taiwan University), Aug 9, 2012.
- Workshop on the Arithmetic Geometry of Shimura Varieties, Representation Theory, and Related Topics, Sapporo, Jul 21, 2012.

*Compactifications of PEL-type Shimura varieties and Kuga families with ordinary loci*:- Arithmetic Algebraic Geometry, Paderborn, Oct 11, 2013.
- NCTS Seminar on Arithmetic Geometry and Representation Theory (at Academia Sinica and National Taiwan University), 8 lectures, Jul 23, 25, 29, and 31, 2013.
- International Congress of Chinese Mathematicians, Taipei, Jul 16, 2013.
*p*-adic Modular Forms, L-functions, and Galois representations, UCLA, May 11, 2013.- Higher Rank Automorphic Forms and L-functions, University of Warwick, May 2, 2013.
- Northwestern Number Theory Seminar, Apr 22, 2013.
- Princeton University / IAS Number Theory Seminar, Feb 21, 2013.
- Algebra Seminar, Michigan State University, Oct 31, 2012.
- NCTS/TPE Seminar on Arithmetic Geometry (at National Taiwan University), Aug 9, 2012.
- Seminar on Arithmetic Geometry, Hokkaido University, 2 lectures, Jul 30, 2012; continuation of the following workshop lecture.
- Workshop on the Arithmetic Geometry of Shimura Varieties, Representation Theory, and Related Topics, Sapporo, Jul 19, 2012.
- Workshop on Arithmetic Geometry and Representation Theory, HKUST IAS, Hong Kong, Dec 28, 2011.

*Kodaira-type vanishing on good reduction fibers of Shimura varieties*:- Workshop on the Arithmetic Geometry of Shimura Varieties and Rapoport-Zink Spaces, Kyoto University, Jul 8, 2011.
- NCTS Number Theory Seminar, Hsinchu, Taiwan, Jun 28, 2011.
- Caltech Number Theory Seminar, May 31, 2011.

*Geometric modular forms in higher dimensions*:- Colloquium, UC Santa Cruz, May 9, 2017.
- Colloquium, Cornell University, Feb 8, 2011.
- Special Colloquium, UC Irvine, Jan 18, 2011.
- Colloquium, McMaster University, Jan 10, 2011.
- Colloquium, University of Minnesota, Twin Cities, Dec 7, 2010.
- Colloquium, Boston College, Nov 30, 2010.

*Vanishing theorems for torsion automorphic sheaves*(*on general PEL-type Shimura varieties*):- Seminar on Arithmetic Geometry, Hokkaido University, 2 lectures, July 17, 2012.
- Workshop on Cohomology of Shimura Varieties: Arithmetic Aspects and The Construction of Galois Representations, Fields Institute, Mar 23, 2012.
- Quebec-Vermont Number Theory Seminar, Feb 2, 2012.
- 2011 NCTS International Conference on Galois Representations, Automorphic Forms and Shimura Varieties, Hsinchu, Taiwan, Jun 20, 2011.
- Caltech Number Theory Seminar, May 26, 2011.
- Automorphic Forms and Representation Theory Seminar, Purdue University, Mar 31, 2011.
- Workshop on Automorphic Forms and Shimura Varieties, Columbia University, Mar 19, 2011.
- Boston University Number Theory Seminar, Jan 28, 2011.
- Lie Groups and Representation Theory Seminar, University of Maryland, Jan 26, 2011.
- International Congress of Chinese Mathematicians, Tsinghua University, Beijing, Dec 19, 2010.
- Galois Representations and Automorphic Forms Seminar, Institute for Advanced Study, Dec 9, 2010.
- Bay Area Algebraic Number Theory and Arithmetic Geometry Day I (special day of Stanford/AIM Number Theory Seminar), Nov 6, 2010.
- BC-MIT Number Theory Seminar, Sep 21, 2010.
- Number Theory Seminar, Academia Sinica, Jul 20, 2010; continuation of the following workshop lecture.
- Workshop on Arithmetic Geometry and Related Topics, Taipei, Jul 14, 2010.
- University of Chicago Number Theory Seminar, Apr 9, 2010.
- Members Seminar, Institute for Advanced Study, Apr 5, 2010.

*Liftability of mod p cusp forms of regular weights*, GCOE Number Theory Joint Seminar, Kyoto University, Dec 4, 2009.*Vanishing theorems for torsion automorphic sheaves*(*on compact PEL-type Shimura varieties*):- Northwestern Number Theory Seminar, Feb 22, 2010.
- Number Theory / Representation Theory Seminar, University of Toronto, Jan 27, 2010.
- Workshop on Arithmetic Geometry in Kanazawa, Nov 24, 2009.

*Analytic coordinates for degenerations of PEL structures*, NCTS/TPE (at National Taiwan University), Aug 3, 6, and 10, 2009.*Elevators for degenerations of PEL structures*, Workshop on Automorphic Representations, Geometry, and Arithmetic, Taipei, Jul 22, 2009.- Cohomology of automorphic bundles / Coherent cohomology of automorphic bundles:
- International Congress of Chinese Mathematicians, Beijing, Aug 8, 2016.
- Number Theory Seminar, Beijing International Center for Mathematical Research, 4 lectures, Dec 15, 16, 21, and 23, 2015.
- Short Talks by Postdoctoral Members, Institute for Advanced Study, Sep 29, 2009.
- Mini-course at NCTS/TPE (at National Taiwan University), Dec 16, 24, and 30, 2008.

*Toroidal compactifications of certain Kuga families*/*Extensions*(*of various structures*)*over toroidal boundaries of Shimura varieties*:- Stanford/AIM Number Theory Seminar, May 8, 2009.
- Princeton University / IAS Number Theory Seminar, Apr 23, 2009.
- Algebra and Number Theory Seminar, University of Maryland, Feb 16, 2009.
- Algebra Seminar, University of Pennsylvania, Feb 2, 2009.
- Workshop on Shimura Varieties, Automorphic Representations and Related Topics, Kyoto, Nov 27, 2008.
- Group, Lie and Number Theory Seminar, University of Michigan, Nov 10, 2008.
- Joint Columbia-CUNY-NYU Number Theory Seminar, Oct 2, 2008.

*Arithmetic compactifications of*(*general*)*PEL-type Shimura varieties*:- Shimura Varieties and Trace Formula Seminar, Institute for Advanced Study, Oct 31 and Nov 3, 2008.
- Algebra Seminar, Michigan State University, Apr 15, 2008.
- Number Theory and Representation Theory Seminar, University of Michigan, Apr 14, 2008.
- Number Theory Seminar, Harvard University, Mar 19, 2008.
- Seminar on Automorphic Forms and Galois Representations, Princeton University, Feb 6, 2008.
- Department Colloquium, Indiana University, Feb 1, 2008.
- KIAS (Korea Institute for Advanced Study), 4 lectures, Jan 14–15, 2008.
- Number Theory Seminar, Academia Sinica, 4 lectures, Jan 2–3, 2008.
- Seminar on Arithmetic Geometry, Hokkaido University, 4 lectures, Aug 28–29, 2007.
- Mini-Workshop on Automorphic Representations and Shimura Varieties, Kyoto, May 31, 2007. (Full-day informal seminar, May 29, 2007.)
- Algebraic Geometry Seminar, NCTS/TPE (at National Taiwan University), Jan 2, 2007.

*Arithmetic compactifications of Shimura varieties associated to certain unitary groups*:- Caltech Number Theory Seminar, Sep 7, 2006.
- Lecture series, National Taiwan University, May 23 and 30, and Jun 6, 2006.

Regular Seminars:

Reading Seminars:

- Fall 2012 on D-modules
- Spring 2015 on various topics in algebraic and arithmetic geometry
- Summer 2015 on perfectoid spaces
- Spring 2016 on class field theory and related topics
- Fall 2018 and Spring 2019 on D-modules and perverse sheaves
- Fall 2019 and Spring 2020 on various topics in arithmetic geometry

A list of academic visitors since the fall of 2012.

- University of Minnesota, Twin Cities:
- Math 8254: Algebraic Geometry, Spring 2019.
- Math 8253: Algebraic Geometry, Fall 2018.
- Math 8272: Lie Groups and Lie Algebras, Spring 2018.
- Math 8271: Lie Groups and Lie Algebras, Fall 2017.
- Math 8272: Lie Groups and Lie Algebras, Spring 2017.
- Math 8271: Lie Groups and Lie Algebras, Fall 2016.
- Math 8280: Topics in Number Theory: Automorphic and Galois Representations, Spring 2016 (section 001) (with a related reading seminar).
- Math 8270: Topics in Algebraic Geometry: Abelian Schemes and Their Moduli, Spring 2015 (with a related reading seminar).
- Math 8254: Algebraic Geometry, Spring 2014.
- Math 8253: Algebraic Geometry, Fall 2013.
- Math 4242: Applied Linear Algebra, Fall 2012 (sections 010 and 060).
- REU/UROP/URS/Honors Thesis/Senior Project: Feel free to contact me if you are interested.
- MathCEP/UMTYMP.

- Princeton University:
- MAT 204: Advanced Linear Algebra with Applications, Spring 2012 (coursehead).
- MAT 203: Advanced Multivariable Calculus, Fall 2011 (2 sections).
- MAT 203: Advanced Multivariable Calculus, Spring 2011 (1 section and 1 review, coursehead).
- MAT 203: Advanced Multivariable Calculus, Fall 2010 (2 sections).
- MAT 202: Linear Algebra With Applications, Spring 2009 (2 sections).
- MAT 203: Advanced Multivariable Calculus, Fall 2008 (2 sections).

- Harvard University:
- Math 21a: Multivariable Calculus, Spring 2008 (2 sections).
- Math 21a: Multivariable Calculus, Fall 2006.
- Math 21a: Multivariable Calculus, Fall 2005.
- Math 99r: Tutorial on
*Binary Quadratic Forms*(with Chung Pang Mok), Fall 2005. - Math 21a: Multivariable Calculus, Fall 2004.

- National Taiwan University: Differential Geometry (as a teaching assistant), Fall 2000.

- The Arithmetic of the Langlands Program, Hausdorff Trimester Program, Bonn, May 4–Aug 21, 2020.
- 2020 Winter School on Geometry and Arithmetic of Shimura Varieties, Morningside Center of Mathematics, Mar 2–6, 2020.
- The Legacy of Élie Cartan, Tsinghua Sanya International Mathematics Forum, Dec 16–20, 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 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.