Employment

• Texas A&M University, Professor, 2010-present.
  Texas A&M University, Associate Professor, 2006-2010.
  Texas A&M University, Assistant Professor, 2003-2006.

• Brown University, Tamarkin Assistant Professor, 2000-2003.

• Penn State University, Visiting Assistant Professor, 1998-2000.

Research Interests

Number Theory and Arithmetic Geometry
Transcendental Numbers
Elliptic Curves and Abelian Varieties
Drinfeld Modules and t-Modules

Grants Awarded

• Simons Foundation, Collaboration Grant, 2020-25.
  "Arithmetic and Transcendence of Special Values"

• National Science Foundation, Conference Grant, 2019-20.
  "Arithmetic of Function Fields and Diophantine Geometry,"
  National Center for Theoretical Sciences, Taipei, Taiwan, May 20-24, 2019.

• Qatar National Research Fund, National Priorities Research Program, 2016-20.
  "Arithmetic of Drinfeld Modular Forms." Co-PI with A. El-Guindy and R. Masri.

• National Science Foundation, Standard Grant, 2015-19.
  "Arithmetic and Transcendence of Values of Special Functions"

• National Science Foundation, Conferences and Meetings, 2013-2015.
  "Southwest Center for Arithmetic Geometry." Co-PI with B. Cais, M. Ciperiani, R. Pries, and R. Sharifi.

• National Science Foundation, Standard Grant, 2012-15.
  "Arithmetic and Transcendence of Values of Special Functions"

• National Science Foundation, Standard Grant, 2009-12.
  "Special Values and Transcendence."

• National Science Foundation, Special Meetings, 2009-12.
  "Southwest Center for Arithmetic Geometry." Co-PI with R. Pries, F. Rodriguez-Villegas, D. Savitt, and D. Thakur.

• National Science Foundation, Standard Grant, 2006-09.
  "Special Functions and Transcendence."

• National Science Foundation, Special Meetings, 2006-09.
  "Southwest Center for Arithmetic Geometry." Co-PI with F. Rodriguez-Villegas, D. Savitt, W. Stein, and D. Thakur.

• National Science Foundation, Standard Grant, 2003-06.
  "Transcendental Numbers and Special Analytic Functions."

• National Security Agency, Young Investigator Grant, 2003-05.
  "Transcendental Numbers and Special Values of Analytic Functions."

Publications and Preprints

1. Convolutions of Goss and Pellarin L-series (with W.-C. Huang)
   submitted for publication, 62 pages.

2. A note on log-algebraicity on elliptic curves (with W.-C. Huang)
   submitted for publication, 12 pages.

3. Function field analogue of Shimura's conjecture on period symbols
   (with W. D. Brownawell, C.-Y. Chang, and F.-T. Wei)
   submitted for publication, 68 pages.

4. Equidistribution of Gross points over rational function fields (with A. El-Guindy, R. Masri, and G. Zeng)
   submitted for publication, 20 pages.

5. Log-algebraicity on tensor powers of the Carlitz module and special values of Goss L-functions,
   in preparation.

6. Hyperderivatives of periods and quasi-periods for Anderson t-modules (with C. Namoijam)
   Memoirs of the American Mathematical Society, accepted for publication, 116 pages.

7. Effective rigid analytic trivializations for Drinfeld modules (with C. Khaochim)
   Canadian Journal of Mathematics 75 (2023), no. 3, 713-742.

8. Hyperderivative power sums, Vandermonde matrices, and Carlitz multiplication coefficients
   Journal of Number Theory 232 (2022), 317-354.

9. t-Motives: Hodge Structures, Transcendence, and Other Motivic Aspects
   (ed. with G. Böckle, D. Goss, and U. Hartl)
   European Mathematical Society, EMS Series of Congress Reports, Vol. 16, Zürich, 2020, 473 pp.

10. A rapid introduction to Drinfeld modules, t-modules, and t-motives (with W. D. Brownawell)
    t-Motives: Hodge Structures, Transcendence, and Other Motivic Aspects,
    European Mathematical Society, Zürich, 2020, pp. 3-30.

11. An effective criterion for Eulerian multizeta values in positive characteristic (with C.-Y. Chang and J. Yu)
    Journal of the European Mathematical Society 21 (2019), no. 2, 405-440.

12. The de Rham isomorphism for Drinfeld modules over Tate algebras (with O. Gezmiş)
    Journal of Algebra 525 (2019), 454-496.

13. Log-algebraic identities on Drinfeld modules and special L-values (with C.-Y. Chang and A. El-Guindy)
    Journal of the London Mathematical Society 97 (2018), no. 2, 125-144

14. Special L-values and shtuka functions for Drinfeld modules on elliptic curves (with N. Green)
    Research in the Mathematical Sciences 5 (2018), 5:4, 47 pp.

15. Theta operators, Goss polynomials, and v-adic modular forms (with G. Zeng)
    Journal de Théorie des Nombres de Bordeaux 29 (2017), no. 3, 729-753.

16. A finite field hypergeometric function associated to eigenvalues of a Siegel eigenform (with D. McCarthy)
    International Journal of Number Theory 11 (2015), no. 8, 2431-2450.

17. Identities for Anderson generating functions for Drinfeld modules (with A. El-Guindy)
    Monatshefte für Mathematik 173 (2014), no. 4, 471-493.

18. The Mahler measure of a Calabi-Yau threefold and special L-values (with M. D. Rogers and D. Samart)
    Mathematische Zeitschrift 276 (2014), no. 3-4, 1151-1163.

19. Explicit formulas for Drinfeld modules and their periods (with A. El-Guindy)
    Journal of Number Theory 133 (2013), no. 6, 1864-1886.

20. Algebraic independence of values of Goss L-functions at s=1 (with B. A. Lutes)
    Journal of Number Theory 133 (2013), no. 3, 1000-1011.

21. Algebraic independence of periods and logarithms of Drinfeld modules
    (with C.-Y. Chang and with an appendix by B. Conrad)
    Journal of the American Mathematical Society 25 (2012), no. 1, 123-150.

22. Algebraic relations among periods and logarithms of rank 2 Drinfeld modules (with C.-Y. Chang)
    American Journal of Mathematics 133 (2011), no. 2, 359-391.

23. Frobenius difference equations and algebraic independence of zeta values in positive equal characteristic
    (with C.-Y. Chang and J. Yu)
    Algebra & Number Theory 5 (2011), no. 1, 111-129.

24. Algebraic independence of arithmetic gamma values and Carlitz zeta values
    (with C.-Y. Chang, D. Thakur, and J. Yu)
    Advances in Mathematics 223 (2010), no. 4, 1137-1154.

25. Geometric Gamma values and zeta values in positive characteristic (with C.-Y. Chang and J. Yu)
    International Mathematics Research Notices 2010 (2010), no. 8, 1432-1455.

26. Tannakian duality for Anderson-Drinfeld motives and algebraic independence of Carlitz logarithms
    Inventiones Mathematicae 171 (2008), no. 1, 123-174.

27. On the torsion of Jacobians of principal modular curves of level 3^n (with C. Rasmussen)
    Archiv der Mathematik (Basel) 88 (2007), no. 1, 19-28.

28. A formula and a congruence for Ramanujan's τ-function
    Proceedings of the American Mathematical Society, 134 (2006), no. 2, 333-341.

29. Extensions of abelian varieties defined over a number field (with N. Ramachandran)
    Journal of Number Theory 112 (2005), no. 2, 386-400.

30. Determination of the algebraic relations among special Gamma-values in positive characteristic
    (with G. W. Anderson and W. D. Brownawell)
    Annals of Mathematics 160 (2004), no. 1, 237-313.

31. Combinatorics of traces of Hecke operators (with S. Frechette and K. Ono)
    Proceedings of the National Academy of Sciences, USA, 101 (2004), no. 49, 17016-17020.

32. Gaussian hypergeometric functions and traces of Hecke operators (with S. Frechette and K. Ono)
    International Mathematics Research Notices, 2004, no. 60, 3233-3262.

33. p-adic properties of values of the modular j-function (with K. Ono)
    Galois Theory and Modular Forms, Dev. Math., 11, Kluwer, 2004, pp. 357-366.

34. Higher Weierstrass points on X_0(p) (with S. Ahlgren)
    Transactions of the American Mathematical Society 355 (2003), no. 4, 1521-1535.

35. A Weil-Barsotti formula for Drinfeld modules (with N. Ramachandran)
    Journal of Number Theory 98 (2003), no. 2, 407-431.

36. Universal norms on abelian varieties over global function fields
    Journal of Number Theory 94 (2002), no. 2, 326-342.

37. Linear independence of Gamma values in positive characteristic (with W. D. Brownawell)
    Journal für die reine und angewandte Mathematik 549 (2002), 91-148.

38. Quadratic twists of modular forms and elliptic curves (with K. Ono)
    Number Theory for the Millennium III (Urbana, IL, 2000), A. K. Peters, 2002, pp. 73-85.

39. Canonical heights on elliptic curves in characteristic p
    Compositio Mathematica 122 (2000), no. 3, 299-313.

Ph.D. Students Supervised

• Jason Bassil, Ph.D. student, Texas A&M University

• Jing Ye, Ph.D. student, Texas A&M University

• Erik Davis, Ph.D. student, Texas A&M University

• Wei-Cheng Huang, Ph.D. 2023, Texas A&M University
  "Convolutions of Goss L-series and tensor products of Drinfeld modules"

• Chalinee Khaochim, Ph.D. 2021, Texas A&M University
  "Rigid analytic trivializations and periods of Drinfeld modules and their tensor products"

• Changningphaabi Namoijam, Ph.D. 2020, Texas A&M University
  "Hyperderivatives of periods and logarithms of Anderson t-modules, and algebraic independence"

• Oğuz Gezmiş, Ph.D. 2019, Texas A&M University
  "Special values of L-series over Tate algebras"

• Nathan Green, Ph.D. 2018, Texas A&M University
  "Tensor powers of Drinfeld modules and zeta values"

• Guchao Zeng, Ph.D. 2017, Texas A&M University
  "Theta operators on v-adic modular forms and v-adic families of Goss polynomials and Eisenstein series"

• Detchat Samart, Ph.D. 2014, Texas A&M University
  "Mahler measures of hypergeometric families of Calabi-Yau varieties"

• Brad Lutes, Ph.D. 2010, Texas A&M University
  "Special values of the Goss L-function and special polynomials"

• Valentina Vega, Ph.D. 2009, Texas A&M University
  "Hypergeometric functions over finite fields and their relations to algebraic curves"

• Jenny Fuselier, Ph.D. 2007, Texas A&M University
  "Hypergeometric functions over finite fields and relations to modular forms and elliptic curves"

 Teaching Experience

• Texas A&M University, Assistant Professor, 2003-2006; Associate Professor, 2006-2010; Professor, 2010-present.

Math 323: Honors Linear Algebra, Fall 2024
Math 627: Algebraic Number Theory, Fall 2024
Math 654: Algebra II, Spring 2024
Math 472: Elliptic Curve Cryptography, Fall 2023
Math 662: p-adic L-functions and Iwasawa Theory, Spring 2023
Math 627: Algebraic Number Theory, Fall 2022
Math 471: Communications & Cryptography II, Spring 2022
Science 102: Contemporary Issues in Science, Spring 2022, one of six co-instructors
Math 472: Elliptic Curve Cryptography, Fall 2021
Science 102: Contemporary Issues in Science, Spring 2021, one of six co-instructors
Math 654: Graduate Algebra II, Spring 2020
Math 472: Elliptic Curve Cryptography, Fall 2019
Math 470: Communications & Cryptography, Fall 2018
Math 627: Algebraic Number Theory, Fall 2018
Math 172: Honors Calculus II, Spring 2018
Math 415: Honors Modern Algebra I, Fall 2017
Math 654: Algebra II, Spring 2017
Math 627: Algebraic Number Theory, Fall 2016
Math 172: Calculus II, Spring 2016
Math 221: Several Variable Calculus, Fall 2015
Math 323: Linear Algebra, Fall 2015
Math 323: Linear Algebra, Spring 2015
Math 470: Communications & Cryptography, Fall 2014
Math 627: Algebraic Number Theory, Fall 2014
Math 662: Elliptic Curves, Spring 2014
Math 220: Foundations of Mathematics, Fall 2013
Math 323: Linear Algebra, Fall 2013
Math 416: Modern Algebra II, Spring 2013
Math 654: Graduate Algebra II, Spring 2013
Math 653: Graduate Algebra I, Fall 2012
Math 172: Calculus II, Spring 2012
Math 470: Communications and Cryptography, Fall 2011
Math 251: Engineering Mathematics III, Spring 2011
Math 627: Algebraic Number Theory, Spring 2011
Math 415: Modern Algebra I, Fall 2010
Math 172: Calculus II, Spring 2010
Math 662: Elliptic Curves, Spring 2010
Math 470: Communications and Cryptography, Spring 2009
Math 662: Algebraic Number Theory, Fall 2008
Math 151: Engineering Mathematics I, Fall 2008
Math 627: Graduate Number Theory, Spring 2008
Math 308: Differential Equations, Fall 2007
Math 151: Engineering Mathematics I, Fall 2007
Math 654: Graduate Algebra II, Spring 2007
Math 251: Engineering Mathematics III, Spring 2007
Math 627: Graduate Number Theory, Fall 2006
Math 470: Communications and Cryptography, Spring 2006
Math 251: Engineering Mathematics III, Spring 2006
Math 662: Algebraic Number Theory, Fall 2005
Math 662: Introduction to Modular Forms, Spring 2005
Math 415: Modern Algebra I, Fall 2004
Math 304: Linear Algebra, Spring 2004
Math 220: Fundamentals of Discrete Mathematics, Fall 2003

• Brown University, Tamarkin Assistant Professor, 2000-2003.

Graduate Algebra II, Spring 2003
Undergraduate Abstract Algebra, Fall 2002
Graduate Algebra I, Fall 2002
Topics in Abstract Algebra, Spring 2002
Graduate Algebra I, Fall 2001
Calculus II for Physicists and Engineers, Fall 2001, course head
Introduction to Number Theory, Spring 2001
Advanced Topics in Number Theory, Fall 2000
Graduate course in transcendental number theory
Calculus I, Fall 2000, course head

• Penn State University, Visiting Assistant Professor, 1998-2000.

Calculus II for Engineers, Spring 2000
Calculus I for Engineers, Fall 1999
Calculus I, Spring 1999
Calculus I, Fall 1998

• Brown University, Graduate Student Teaching Fellow, 1994-1997. Instructor in the following courses.

Advanced Placement Calculus, Fall 1995, Fall 1996 and Fall 1997
Calculus II, Spring 1997
Multivariable Calculus, Spring 1996
Pre-Calculus and Calculus, Fall 1994-Spring 1995

• The National Cathedral School, Washington, DC, High School Mathematics Teacher, 1993-94. Taught Calculus and Geometry.

 Selected Invited Talks

• Vistas in Number Theory, Brin Mathematics Research Center, University of Maryland, June 2024.

• Workshop on Function Fields, Penn State University, March 2024.

• National Tsing Hua University Number Theory Seminar, Hsinchu, Taiwan, January 2024.

• Palmetto Number Theory Series XXXVI, Clemson University, October 2023.

• Université de Caen Algebra & Number Theory Seminar, France, September 2023.

• Sapienza University Number Theory Seminar, Rome, May 2023.

• Arithmetic Algebraic Geometry Seminar Online Seminar, Warsaw, April 2023.

• NCTS Workshop on Function Field Arithmetic, National Center for Theoretical Sciences, Taiwan, online, September 2022.

• Jornada de Álgebra 2022, La Universidad Autónoma de Yucatán, online, June 2022.

• Southern Regional Number Theory Conference, Louisiana State University, March 2022.

• Upstate New York Number Theory Colloquium, online, December 2021.

• AMS Special Session on Drinfeld Modules, Modular Varieties and Arithmetic Applications, Penn State University, online, October 2020.

• National Center for Theoretical Sciences, Number Theory Seminar, online, June 2020.

• University of Rochester, Algebra & Number Theory Seminar, online, May 2020.

• Modular Forms and Automorphic Functions for Function Fields, Centro di Ricerca Matematica Ennio De Giorgi, Pisa, Italy, November 2018.

• University of Houston, October 2018.

• Taida Institute for Mathematical Sciences, National Taiwan University, Taipei, Taiwan, June 2018.

• National Center for Theoretical Sciences, Hsinchu, Taiwan, June 2018.

• Claremont McKenna College, Claremont, CA, April 2018.

• AMS Special Session on Real Analytic Modular Forms, Denton, TX, September 2017.

• Arithmetic of Function Fields, Universität Münster, Germany, June 2017.

• University of Illinois at Urbana-Champaign Number Theory Seminar, April 2017.

• Analogies Between Number Field and Function Field: Algebraic and Analytic Approaches, Université de Lyon, France, June-July 2016.

• National Center for Theoretical Sciences, Hsinchu, Taiwan, June 2016.

• Current Trends in Diophantine Geometry and Transcendence, Taida Institute for Mathematical Sciences, National Taiwan University, Taipei, May 2016.

• AMS Special Session on Algebraic Theory of Differential and Functional Equations, Seattle, WA, January 2016.

• Function Fields, Zeta Functions and Drinfeld Modular Forms, Imperial College, London, June 2015.

• National Center for Theoretical Sciences Mini Workshop on Special Values in Positive Characteristic, Hsinchu, Taiwan, May 2015.

• Taida Institute for Mathematical Sciences Taipei Number Theory Seminar, Taipei, Taiwan, May 2015.

• AMS Special Session on Iterated Integrals and Applications, Georgetown University, Washington, DC, March 2015.

• University of Maryland Algebra-Number Theory Seminar, March 2015.

• AMS-AWM Special Session on Recent Developments in Algebraic Number Theory, San Antonio, TX, January 2015.

• Séminaire d'arithméique à Lyon, École normale supérieure, Lyon, France, November 2014.

• National Center for Theoretical Sciences, Hsinchu, Taiwan, Workshop on Function Field Arithmetic, June 2014.

• Columbia-CUNY-NYU Joint Number Theory Seminar, CUNY Graduate Center, March 2014.

• Texas A&M University at Qatar, Colloquium, February 2014.

• University of Texas Number Theory Seminar, December 2013.

• Louisiana State University Algebra and Number Theory Seminar, October 2013.

• National Center for Theoretical Sciences, Hsinchu, Taiwan, International Workshop on Transcendence and Number Theory, June 2013.

• Université de Lyon, France, Séminaire tournant de Théorie des Nombres, June 2013.

• Université de Versailles-Saint Quentin, France, Colloquium, May 2013.

• Université de Caen, France, Séminaire de Théorie des Nombres de Caen, May 2013.

• University of Houston, Seminar on Complex Analysis and Complex Geometry, March 2013.

• Texas-Oklahoma Representations and Automorphic Forms IV, University of North Texas, March 2013.

• Taida Institute for Mathematical Sciences 2013 Winter School on Number Theory, Taipei, Taiwan, January 2013.

• National Center for Theoretical Sciences, Hsinchu, Taiwan, January 2013.

• Zeta functions and L-series in positive characteristic, Centro di Ricerca Matematica Ennio De Giorgi, Pisa, Italy, November, 2012.

• Penn State-Göttingen Number Theory Conference, University of Göttingen, August 2012.

• Texas A&M University at Qatar, Colloquium, February 2012.

• Stanford University, Number Theory Seminar, January 2011.

• Emory University, Algebra and Number Theory Seminar, November 2010.

• Wesleyan University, Algebra Seminar, October 2010.

• Arithmetic Geometry for Function Fields of Positive Characteristic, Centre de Recerca Matemàtica, Barcelona, April 2010.

• CUNY Graduate Center, Collaborative Number Theory Semianr, March 2010.

• AMS Special Session on Arithmetic of Function Fields, San Francisco, CA, January 2010.

• University of Arizona, Algebra and Number Theory Seminar, November 2009.

• Penn State University Algebra and Number Theory Seminar, October 2009.

• AMS Special Session on Function Fields and their Applications, State College, PA, October 2009.

• National Center for Theoretical Sciences, Hsinchu, Taiwan, September 2009.

• Modular Forms and Function Field Arithmetic: Conference in Honor of Jing Yu's 60th Birthday, National Taiwan University, May 2009.

• Boston College-MIT Number Theory Seminar, April 2009.

• Clemson University, Algebra and Discrete Mathematics Seminar, April 2009.

• Canadian Number Theory Association X Meeting, July 2008.

• University of Münster, Mittagseminar zur Arithmetik, June 2008.

• University of Duisberg-Essen, Oberseminar Algebra, June 2008.

• Rencontres Arithmétiques de Caen XIX, University of Caen, June 2008.

• Southern California Number Theory Day, May 2008.

• Arizona Winter School 2008, University of Arizona, March 2008.

• University of North Texas Colloquium & Algebra Seminar, November 2007.

• University of Texas Number Theory Seminar, October 2007.

• Miami University, Oxford, OH, September 2007.

• National Center for Theoretical Sciences, Hsinchu, Taiwan, May 2007.

• Iowa State Colloquium, April 2007.

• Ohio State Number Theory Seminar, February 2007.

• AMS Special Session on Arithmetic of Function Fields, New Orleans, LA, January 2007.

Contributed Talks

• 26th Automorphic Forms Workshop, University of British Columbia, Vancouver, April 2012.

• Journées Arithmétiques XXV, Edinburgh, Scotland, July 2007.

Meetings Organized

• Joint AMS-UMI International Meeting, Palermo, Italy, July 23-26, 2024.
  Special Session on Arithmetic and Geometric Aspects of Drinfeld Modules, Anderson Motives, and Computational Aspects, co-organized with T. Ngo Dac, M. Papikian, and F. Pellarin.

• Joint AMS-SMF-EMS International Meeting, Grenoble, France, July 18-22, 2022.
  Special Session on Drinfeld Modules, Modular Varieties and Arithmetic Applications, co-organized with T. Ngo Dac, M. Papikian, and F. Pellarin.

• Arithmetic of Function Fields and Diophantine Geometry,
  National Center for Theoretical Sciences, National Taiwan University, May 20-24, 2019.
  Co-organized with C.-Y. Chang and W. D. Brownawell.

• Americal Mathematical Society Central Section Meeting, Denton, TX, September 9-10, 2017.
  Special session on Numbers, Functions, Transcendence, and Geometry, co-organized with M. Ciperiani, W. Cherry, and M. Ru.

• Arizona Winter School, University of Arizona.
  Co-organizer 2007-15, Advisory Board Member 2015-present.

• Arithmetic 2015: Silvermania, Brown University, Providence, RI, August 11-15, 2015.
  Co-organized with R. Benedetto, J. Hoffstein, M. Manes, M. Rosen, K. Stange, C. Stewart.

• Arizona Winter School 2015: Arithmetic and Higher Dimensional Varieties, University of Arizona, Tucson, AZ, March 14-18, 2015.
  Co-organized with B. Cais, M. Ciperiani, R. Pries, R. Sharifi.

• Arizona Winter School 2014: Arithmetic Statistics, University of Arizona, Tucson, AZ, March 15-19, 2014.
  Co-organized with B. Cais, M. Ciperiani, R. Pries, R. Sharifi.

• National Center For Theoretical Sciences International Workshop on Transcendence and Number Theory,
  Hsinchu, Taiwan, June 22-23, 2013. Co-organized with C.-Y. Chang and J. Yu.

• Arizona Winter School 2013: Modular Forms and Modular Curves, University of Arizona, Tucson, AZ, March 9-13, 2013.
  Co-organized with B. Cais, M. Ciperiani, R. Pries, D. Savitt, R. Sharifi.

• Arizona Winter School 2012: Ramification and Geometry, University of Arizona, Tucson, AZ, March 10-14, 2012.
  Co-organized with B. Cais, R. Pries, F. Rodriguez-Villegas, D. Savitt, R. Sharifi, D. Thakur.

• Arizona Winter School 2011: Stark-Heegner Points, University of Arizona, Tucson, AZ, March 12-16, 2011.
  Co-organized with R. Pries, F. Rodriguez-Villegas, D. Savitt, D. Thakur.

• Arizona Winter School 2010: Number Theory and Dynamics, University of Arizona, Tucson, AZ, March 13-17, 2010.
  Co-organized with R. Pries, F. Rodriguez-Villegas, D. Savitt, D. Thakur.

• Banff International Research Station: t-Motives, Hodge Structures, Transcendence and other Motivic Aspects,
  Banff, Alberta, September 28-October 2, 2009. Co-organized with G. Boeckle, D. Goss, and U. Hartl.

• Arizona Winter School 2009: Quadratic Forms, University of Arizona, Tucson, AZ, March 14-18, 2009.
  Co-organized with F. Rodriguez-Villegas, D. Savitt, W. Stein, D. Thakur.

• Arizona Winter School 2008: Special Functions and Transcendence, University of Arizona, Tucson, AZ, March 15-19, 2008.
  Co-organized with F. Rodriguez-Villegas, D. Savitt, W. Stein, D. Thakur.

• Arizona Winter School 2007: p-adic Geometry, University of Arizona, Tucson, AZ, March 10-14, 2007.
  Co-organized with F. Rodriguez-Villegas, D. Savitt, W. Stein, D. Thakur.

• American Mathematical Society Joint Meetings, San Antonio, TX, January 12-15, 2006.
  Special session on Arithmetic Geometry and Modular Forms, co-organized with A. El-Guindy.

• ArithmeTexas 2005, Texas A&M University, College Station, TX, April 2-3, 2005.
  Co-organized with P. Tretkoff.

• American Mathematical Society Eastern Section Meeting, Boston, MA, October 1-2, 2002.
  Special session on Number Theory and Arithmetic Geometry, co-organized with S. Wong.

Editorial Work

• Proceedings of the American Mathematical Society

  • Managing Editor, 2018-2022.

  • Editor in Number Theory, 2010-2018.

• t-Motives: Hodge Structures, Transcendence, and Other Motivic Aspects (ed. with G. Böckle, D. Goss, and U. Hartl)
  European Mathematical Society, EMS Series of Congress Reports, Vol. 16, Zürich, 2020, 473 pp.

• Journal of Number Theory

Special Issue in Honor of David R. Hayes, guest editor with D. Goss, M. Rosen, and D. Thakur,
Volume 133, No. 3, 2013.

Professional Service

• Texas A&M Mathematics, Associate Head for Undergraduate Programs, 2019-2024.

• College of Arts & Sciences, Texas A&M, Undergraduate Instruction Committee, 2022-2024.

• American Mathematical Society Council, Member, 2018-2022.

• Texas A&M Mathematics, Executive Committee, 2019-2021.

• Texas A&M Mathematics, Director of Honors Programs in Mathematics, 2016-2019.

• Texas A&M Mathematics, Honors Committee, chair, 2016-2019.

• Texas A&M Mathematics, Scholarship Committee, chair, 2016-2019.

• Texas A&M Mathematics, Undergraduate Studies Committee, 2016-2024; chair, 2019-2024.

• Texas A&M Mathematics, Honors Advisor, 2016-2024.

• Texas A&M Mathematics, Promotion & Tenure Committee, 2013-15; chair 2014-15.

• Texas A&M Mathematics, Post-Doctoral Hiring Committee, 2006-07, 2010-12; chair 2011-2012.

• Texas A&M Mathematics, Department Head Search Committee, 2010-11.

• Texas A&M Mathematics, Executive Committee, 2007-09.

• Texas A&M Mathematics, Awareness Month committee, 2006-09; chair 2007, 2009.

• Texas A&M Number Theory Seminar, co-organizer, 2003-06.

• Mathematical Reviews, reviewer, 2001-present.

• Brown Algebra Seminar, co-organizer, 2000-03.

• Brown Mathematics Colloquium, co-organizer, 2000-02.

• Undergraduate Advisor, Brown University, 2000-01.

• Referee for various journals, 1999-present.