Academic Information

• Number theory
• Automorphic forms
• Integral models of Shimura varieties and their compactifications
• Relations among the above

• Veblen Research Instructor, joint position of Department of Mathematics, Princeton University, and School of Mathematics, Institute for Advanced Study, academic years 2008 -- 2011.
• Clay Liftoff Fellow, Clay Mathematics Institute, Summer 2008.
• 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.

1. Vanishing theorems for torsion automorphic sheaves, with Junecue Suh, in preparation.
2. Liftability of mod p cusp forms of regular parallel weights, with Junecue Suh, draft.
3. Toroidal compactifications of certain Kuga families, draft.
4. Comparison between analytic and algebraic constructions of toroidal compactifications of PEL-type Shimura varieties, draft.
5. Elevators for degenerations of PEL structures, draft.
6. 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. A list of typos and mistakes (to be frequently updated).
   4. Revision (single-spaced) or (densely-spaced) compiled on Nov 9, 2009. (Corrections to typos and minor mistakes are incorporated at the time of compilation. For more recent changes, please still consult the above document.) WARNING: The numbering of results in these documents is different from the official version.
   The writing is far from polished and still under revision (beyond corrections of typos or mistakes). Please contact me if you would like to see the latest version.
7. Moduli schemes of elliptic curves, M.S. thesis, National Taiwan University, Jun 15, 2001.

1. Liftability of mod p cusp forms of regular weights, GOCE Number Theory Joint Seminar, Kyoto University, Dec 4, 2009.
2. Vanishing theorems for torsion automorphic sheaves, Workshop on Arithmetic Geometry in Kanazawa, Nov 24--27, 2009.
3. Coherent cohomology of automorphic bundles, Short Talks by Postdoctoral Members, Institute for Advanced Study, Sep 29, 2009.
4. Analytic coordinates for degenerations of PEL structures, NCTS/TPE (at National Taiwan University), Aug 3, 6, 10; 2009.
5. Elevators for degenerations of PEL structures, Workshop on Automorphic Representations, Geometry, and Arithmetic, Taipei, Jul 22, 2009.
6. Cohomology of automorphic bundles, mini-course at NCTS/TPE (at National Taiwan University), Dec 16, 24, 30; 2008.
7. 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. Joint Algebra and Number Theory/Lie Groups and Representation 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. GLNT Seminar, University of Michigan, Nov 10, 2008.
   7. Joint Columbia-CUNY-NYU Number Theory Seminar, Oct 2, 2008.
8. Colloquium Talks, National Taiwan University:
   1. A general guide to the arithmetic compactifications of Shimura varieties, Jun 20, 2007.
   2. Some applications of the arithmetic compactifications of Shimura varieties, Jun 25, 2007.
9. Arithmetic compactifications of (general) PEL-type Shimura varieties,
   1. Shimura Varieties and Trace Formula Seminar, Institute for Advanced Study, Oct 31; 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 (organized by Prof. Iku Nakamura), 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.
10. 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, 30; Jun 6; 2006.
11. Degeneration Data for Abelian Varieties, Prof. Richard Taylor's seminar, 16 lectures, Fall 2005, Harvard University.

1. MAT 202: Linear Algebra With Applications, Spring 2009.
2. MAT 203: Advanced Multivariable Calculus, Fall 2008.

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

• Special Program on Eigenvarieties, Harvard University, Spring 2006.
• Instructional Workshop: Automorphic Galois Representations, L-functions and Arithmetic, Columbia University, Jun 17--22, 2006.
• Hot Topics: Modularity for GL(2) and Beyond, MSRI, Oct 30 -- Nov 3, 2006.
• Mini-Workshop on Automorphic Representations and Shimura Varieties, Kyoto, May 30--31, 2007. (Informal seminars, May 28--29, 2007.)
• Summer School on Serre's Modularity Conjecture, Luminy, Jul 9--20, 2007
• Algebraic and Arithmetic Structures of Moduli Spaces, Sapporo, Sep 3--7, 2007.
• Recent Developments in Number Theory: Selmer Groups, L-functions, and Galois Deformations, UCLA, Mar 24--29, 2008.
• Current Developments and Directions in the Langlands Program, Northwestern University, May 10-14, 2008.
• Modular Forms and Arithmetic, MSRI, Jun 28--Jul 2, 2008.
• Représentation p-adiques des groupes p-adiques, Jussieu, Paris, Jul 7--12, 2008.
• Workshop on Shimura Varieties, Automorphic Representations and Related Topics, Kyoto, Nov 25--28, 2008.
• Clay Mathematics Institute Summer School on Galois Representations, University of Hawaii at Manoa, Honolulu, Hawaii, Jun 15 -- Jul 10, 2009.
• Workshop on Automorphic Representations, Geometry, and Arithmetic, Taipei, Jul 21--24, 2009; co-organized with Chia-Fu Yu and Jeng-Daw Yu .
• Analytic Number Theory, IAS, Sep 1, 2009 -- Jun 30, 2010.
• Workshop on Arithmetic Geometry in Kanazawa, Nov 24--27, 2009.
• Conference in arithmetic geometry in honor of Jean-Marc Fontaine, IHP / Université de Paris-Sud, Mar 22--27, 2010
• Number Theory and Representation Theory, a conference in honor of the 60th birthday of Benedict Gross, Harvard University, Jun 2--5, 2010.
• Galois Representations and Automorphic Forms, IAS, Sep 20, 2010 -- Apr 8, 2011.

• 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.