Academic Information

• Number theory
• Automorphic forms
• Geometry and cohomology of Shimura varieties and their compactifications
• Relations among the above

• Assistant Professor, School of Mathematics, University of Minnesota, Twin Cities, beginning academic year 2012.
• Veblen Research Instructor, joint position of Department of Mathematics, Princeton University, and School of Mathematics, Institute for Advanced Study, academic years 2008 -- 2012.
• 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. Geometric modular forms and the cohomology of torsion automorphic sheaves, a survey article accompanying my talk at the ICCM in Beijing, 2010, to appear in the conference proceedings. (The actual talk has a different title and emphasizes more on the vanishing theorems.)
2. Vanishing theorems for torsion automorphic sheaves on general PEL-type Shimura varieties, with Junecue Suh, submitted.
3. Dual BGG complexes for automorphic bundles, with Patrick Polo, preprint.
4. Vanishing theorems for torsion automorphic sheaves on compact PEL-type Shimura varieties, with Junecue Suh, Duke Math. J., to appear.
5. 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.
6. Elevators for degenerations of PEL structures, Math. Res. Lett. 18 (2011), no. 05, 889--907.
7. Comparison between analytic and algebraic constructions of toroidal compactifications of PEL-type Shimura varieties, Crelle's journal, to appear, doi:10.1515/CRELLE.2011.099.
8. Toroidal compactifications of PEL-type Kuga families, Algebra and Number Theory, to appear.
9. Arithmetic compactifications of PEL-type Shimura varieties, London Mathematical Society Monographs, to appear.
10. 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 updated whenever necessary).
    4. Revision (single-spaced) or (densely-spaced) compiled on Jan 18, 2012. (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.
    Please contact me if you would like to see the latest version.
11. Moduli schemes of elliptic curves, M.S. thesis, National Taiwan University, Jun 15, 2001. (The electronic document for this is no longer available.)

1. Compactifications of PEL-type Shimura varieties and Kuga families with ordinary loci, Workshop on Arithmetic Geometry and Representation Theory, HKUST IAS, Hong Kong, Dec 28, 2012.
2. 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.
3. Geometric modular forms in higher dimensions:
   1. Colloquium, Cornell University, Feb 8, 2011.
   2. Special Colloquium, UC Irvine, Jan 18, 2011.
   3. Colloquium, McMaster University, Jan 10, 2011.
   4. Colloquium, University of Minnesota, Dec 7, 2010.
   5. Colloquium, Boston College, Nov 30, 2010.
4. Vanishing theorems for torsion automorphic sheaves (on general PEL-type Shimura varieties):
   1. Workshop on Cohomology of Shimura varieties: arithmetic aspects and the construction of Galois representations, Fields Institute, Mar 19--23, 2012.
   2. Quebec-Vermont Number Theory Seminar, Feb 2, 2012.
   3. 2011 NCTS International Conference on Galois Representations, Automorphic Forms and Shimura Varieties, Hsinchu, Taiwan, Jun 20, 2011.
   4. Caltech Number Theory Seminar, May 26, 2011.
   5. Automorphic Forms and Representation Theory Seminars, Purdue University, Mar 31, 2011.
   6. Workshop on Automorphic Forms and Shimura Varieties, Columbia University, Mar 19, 2011.
   7. Boston University Number Theory Seminar, Jan 28, 2011.
   8. Lie Groups and Representation Theory Seminar, University of Maryland, Jan 26, 2011.
   9. International Congress of Chinese Mathematicians, Tsinghua University, Beijing, Dec 19, 2010.
   10. Galois Representations and Automorphic Forms Seminar, Institute for Advanced Study, Dec 9, 2010.
   11. Bay Area Algebraic Number Theory and Arithmetic Geometry Day I (special day of Stanford/AIM Number Theory Seminar), Nov 6, 2010.
   12. BC-MIT Number Theory Seminar, Sep 21, 2010.
   13. Number Theory Seminar, Academia Sinica, Jul 20, 2010; continuation of the following workshop lecture.
   14. Workshop on Arithmetic Geometry and Related Topics, Taipei, Jul 14, 2010.
   15. University of Chicago Number Theory Seminar, Apr 9, 2010.
   16. Members Seminar, Institute for Advanced Study, Apr 5, 2010.
5. Liftability of mod p cusp forms of regular weights, GCOE Number Theory Joint Seminar, Kyoto University, Dec 4, 2009.
6. 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--27, 2009.
7. Coherent cohomology of automorphic bundles, Short Talks by Postdoctoral Members, Institute for Advanced Study, Sep 29, 2009.
8. Analytic coordinates for degenerations of PEL structures, NCTS/TPE (at National Taiwan University), Aug 3, 6, 10; 2009.
9. Elevators for degenerations of PEL structures, Workshop on Automorphic Representations, Geometry, and Arithmetic, Taipei, Jul 22, 2009.
10. Cohomology of automorphic bundles, mini-course at NCTS/TPE (at National Taiwan University), Dec 16, 24, 30; 2008.
11. 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. GLNT Seminar, University of Michigan, Nov 10, 2008.
    7. Joint Columbia-CUNY-NYU Number Theory Seminar, Oct 2, 2008.
12. 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.
13. 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.

1. MAT 204: Advanced Linear Algebra with Applications, Spring 2011, Princeton University.
2. MAT 203: Advanced Multivariable Calculus, Fall 2011 (2 sections), Spring 2011 (1 section and 1 review), Fall 2010 (2 sections), and Fall 2008 (2 sections), Princeton University.
3. MAT 202: Linear Algebra With Applications, 2 sections, Spring 2009, Princeton University.
4. Math 21a: Multivariable Calculus, Spring 2008 (2 sections), Fall 2006, Fall 2005, and Fall 2004, Harvard University.
5. Math 99r: Tutorial on Binary Quadratic Forms (with Chung-Pang Mok), Fall 2005, Harvard University.
6. Course assistant, Differential Geometry, Fall 2000, National Taiwan University.

• Reductions of Shimura varieties, Oberwolfach, Jul 1--7, 2012.
• Workshop on Cohomology of Shimura varieties: arithmetic aspects and the construction of Galois representations, Fields Institute, Mar 19--23, 2012. (This is part of the Thematic Program on Galois Representations.)
• Workshop on Arithmetic Geometry and Representation Theory, HKUST IAS, Hong Kong, Dec 15, 2011 -- Jan 15, 2012. (I will attend only 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.