Academic Information

• Algebraic number theory
• Automorphic representations

• Cohomology of locally symmetric spaces
• Shimura varieties and their compactifications

• Sep 2003 -- Jun 2008: Doctor of Philosophy, Department of Mathematics, Harvard University. (Advisor: Prof. Richard Taylor.)
  
• Oct 1999 -- Jun 2001: Master of Science, Department of Mathematics, National Taiwan University. (Advisor: Prof. Ki-Seng Tan.)
• Oct 1995 -- Jun 1999: Bachelor of Science, Department of Mathematics, National Taiwan University.

1. Arithmetic compactifications of PEL-type Shimura varieties, Ph.D. thesis, Harvard University, May 20, 2008.
2. Representation of GL(n) over non-archimedean local fields, minor thesis, Harvard University, Mar 2, 2004.
3. Moduli schemes of elliptic curves, M.S. thesis, National Taiwan University, Jun 15, 2001.

1. Arithmetic compactifications of PEL-type Shimura varieties, Algebra Seminar, Michigan State University, Apr 15, 2008.
2. Compactifications of PEL-type Shimura varieties, Number Theory and Representation Theory Seminar, University of Michigan, Apr 14, 2008.
3. Duality and Plethysm (Poster), Apr 3, 2007, given in Trivial Notions.
4. Arithmetic compactifications of PEL-type Shimura varieties, Number Theory Seminar, Harvard University, Mar 19, 2008.
5. Arithmetic compactifications of PEL-type Shimura varieties, Seminar on Automorphic Forms and Galois Representations, Princeton University, Feb 6, 2008.
6. Arithmetic compactifications of PEL-type Shimura varieties, Department Colloquium, Indiana University, Feb 1, 2008.
7. Arithmetic compactifications of PEL-type Shimura varieties, 4 lectures, KIAS (Korea Institute for Advanced Study), Jan 14--15, 2008.
8. Arithmetic compactifications of Shimura varieites of PEL-type, 4 lectures, Number Theory Seminar, Academia Sinica, Jan 2--3, 2008.
9. Trivializations, National Taiwan University, Dec 24, 2007, on the realization of Weil pairings as comparisons of trivializations.
10. Arithmetic compactifications of PEL-type Shimura varieties, 4 lectures, Seminar on Arithmetic Geometry (organized by Prof. Iku Nakamura), Hokkaido University, Aug 28--29, 2007.
11. 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.
12. Arithmetic compactifications of PEL-type Shimura varieties, Mini-Workshop on Automorphic Representations and Shimura Varieties, Kyoto, May 31, 2007. (Full-day informal seminar, May 29, 2007.) (The file of the slides contains some modifications after the talk.)
13. Fair Chance (Poster), Mar 16, 2007, given in Trivial Notions.
14. Arithmetic compactifications of (general) PEL-type Shimura varieties, Algebraic Geometry Seminar, NCTS/TPE (at National Taiwan University), Jan 2, 2007.
15. Arithmetic compactifications of Shimura varieties associated to certain unitary groups, Caltech Number Theory Seminar, Sep 7, 2006.
16. Lecture series, National Taiwan University:
    1. Arithmetic compactifications of Shimura varieties associated to certain unitary groups, May 23, 2006.
    2. Degeneration data for polarized abelian varieties, May 30, 2006.
    3. Algebraic constructions of toroidal compactifications, Jun 6, 2006.
17. Thetanullwerte (Poster), Feb 9, 2006, given in Trivial Notions.
18. Degeneration Data for Abelian Varieties, given in Prof. Richard Taylor's seminar:
    1. Abelian Schemes and Polarizations, Sep 26, 2005.
    2. Tori and Semi-Abelian Schemes, Sep 28, 2005.
    3. Biextensions of Group Schemes, Oct 3, 2005.
    4. Relations Between Torsors and Invertible Sheaves, Oct 5, 2005.
    5. Cubical Torsors, Oct 24, 26, 31; 2005.
    6. The Group K(L), Nov 2, 7; 2005.
    7. Dual of Degenerating Families, Nov 9, 2005.
    8. Theorem of Degeneration Data, Nov 14, 21, 28, 30; Dec 5, 7; 2005.
19. Colloquium Talks, National Taiwan University:
    1. Boundary Components of Bounded Symmetric Domains via Examples, Jun 1, 2005.
    2. Ideas of Satake-Baily-Borel and Toroidal Compactifications, Jun 3, 2005.
    3. Partial Fourier Coefficients of Holomorphic Automorphic Forms, Jun 7, 2005.
    4. Interpretations of Partial Fourier Coefficients via Theta Functions, Jun 9, 2005.
    The same topics were repeated in Alcove Meetings 2005--2006, Aug 25, 29, 30; Sep 12, 14; 2005.
    
20. Examples of standard boundary components of bounded symmetric domains, Feb 17, 24; Mar 3; 2005, given in Alcove Meetings 2004--2005.
21. Points at Infinity (Poster), Feb 18, 2005, given in Trivial Notions.
22. Heisenberg groups and theta functions, Oct 17, 2004; Algebraic theta functions, Oct 20, 2004; given in Alcove Meetings 2004--2005.
23. Existence of Whittaker Model, Mar 22, 2004; Uniqueness of Whittaker Model, Apr 19, 2004; given in Prof. Richard Taylor's seminar.
24. How Implicit is the Implicit Function Theorem?, Oct 31, 2003, given in Trivial Notions, on Artin's approximation theorem.
25. National Taiwan University and Academia Sinica
    Seminar of Theory of Number (Algebraic and Analytic) in the area of Taipei City.
    1. Algebraic Stacks, May 28, 2003.
    2. Moduli Stacks of Elliptic Curves, Jun 4, 2003.
26. Algebraization of Formal Moduli, National Taiwan University, Jun 29, 2001.

1. Reading seminar on La conjecture de Weil: II by P. Deligne, under the guidance of Prof. Dennis Gaitsgory. (From Sep 20 to Dec 11, 2006.)
2. Reading Seminar on Étale Cohomology. (From Sep 22 to Dec 8, 2006.)
3. Alcove Meetings 2005--2006. (Informal on a weekly basis.)
4. Reading Seminar on the Book Automorphic Forms on Adele Groups by S. S. Gelbart. (From Sep 17 to Nov 18, 2005.)
5. Alcove Meetings 2004--2005. (Informal on a weekly basis.)
6. Reading Seminar on the Book Abelian Varieties by D. Mumford. (From Jan 15 to May 1, 2004.)
7. Reading Seminar on the Book Arithmetic Moduli of Elliptic Curves by N. Katz and B. Mazur. (From Nov 4 to Dec 5, 2003, then continued from Feb 2 to Apr 17, 2004.)

1. Prof. Richard Taylor's Seminar
2. Number Theory Seminar
3. Faculty Colloquium/Basic Notions
4. Trivial Notions

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

• Unity of Mathematics, Aug 31 -- Sep 4, 2003.
• CDM Conferences, Nov 21--22, 2003; Nov 19--20, 2004; Nov 18--19, 2005; Nov 17--19, 2006.
• Clay Mathematics Institute - 2004 Annual Meeting, Nov 5, 2004.
• Arizona Winter School on Fundamental Groups in Arithmetic, Albuquerque, Mar 12--16, 2005.
• Clay Mathematics Institute - 2005 Academy Colloquium Series, Apr 22--29, 2005.
• Intersection of Arithmetic Cycles and Automorphic Forms, Montréal, Dec 12--16, 2005. Link 1 Link 2
• Special Program on Eigenvarieties, Harvard University, Spring 2006.
• Instructional Workshop: Automorphic Galois Representations, L-functions and Arithmetic, Columbia University, Jun 17--22, 2006.
• Asian-French Summer School in Algebraic Geometry and Number Theory: Motives and related topics, IHES, Jul 17--29, 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)
• Visiting Caltech, Sep 7--13, 2006.
• Hot Topics: Modularity for GL(2) and Beyond, MSRI, Oct 30 -- Nov 3, 2006.
• Workshop on the Representation Theory of Reductive Algebraic Groups, Ottawa, Jan 18--21, 2007.
• Arizona Winter School on p-adic geometry, Tucson, Mar 10--14, 2007.
• Visiting Kyoto University, May 28--31, 2007.
• 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
• Visiting Hokkaido University, Aug 27--Sep 7, 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.
• The Stable Trace Formula, Automorphic Forms, and Galois Representations, BIRS, Banff, Aug 10--17 (Summer School), Aug 17--22 (Workshop), 2008.

• Foreign Language Glossaries:
  • French
  • German
  This is prepared primarily for reading mathematical texts, therefore covering the requirements of the foreign language exams at Harvard.