Education

University of Michigan, Ann Arbor. 

Ph.D. in Mathematics (2003). 

Advisor: Brian Conrad.

Yerevan State University, Armenia. 

Diploma with Highest Honors in Mathematics (1997). 

Employment

Pennsylvania State University, University Park. 

Professor of Mathematics (2020–present). 

Associate Professor of Mathematics (2014–2020). 

Assistant Professor of Mathematics (2007–2014). 

Stanford University. 

Szegö Assistant Professor of Mathematics (2003–2007). 

Visiting Positions

Max Planck Institute for Mathematics, Bonn, Germany. 

January 1–May 31, 2023; February 1–June 30, 2016; September 1–October 30, 2004. 

National Center for Theoretical Sciences, Hsinchu, Taiwan. 

September 15–December 15, 2022; June 1– 30, 2019; June 1– 30, 2018. 

Taida Institute for Mathematical Sciences, Taipei, Taiwan. 

October 1–November 30, 2015; November 15– 30, 2012. 

Saarland University, Saarbrücken, Germany. 

April 1–June 30, 2011; September 1, 2008–April 30, 2009; November 1, 2004– February 28, 2005. 

Institute of Advanced Scientific Studies, Bures-sur-Yvette, France. 

March 1–August 31, 2005. 

Research Support

• National Science Foundation, Conference Grant, DMS-2419068 (2024–2025); PI.

• Simons Foundation, Collaboration Grant, Award Number 637364 (2019–2024); PI.

• National Security Agency, Conference Grant, H98230-18-1-0103 (2018–2019); PI.

• Institute for Mathematics and its Applications, Conference Grant, (2018–2019); PI.

• National Science Foundation, Conference Grant, DMS-1709350 (2017–2018); PI.

• National Security Agency, Young Investigator Grant, H98230-15-1-0008 (2015–2017); PI.

• Simons Foundation, Collaboration Grant, Award Number 245676 (2012–2017); PI.

• National Science Foundation, Meetings Grant, DMS-0963728 (2010–2013); co-PI.

• National Science Foundation, Standard Grant, DMS-0801208 (2008–2011); PI.

• Humboldt Foundation, Research Fellowship (2008–2009).

• European Post-Doctoral Institute, Research Fellowship (2003–2005).

Honors

• Member of the Armenian Society of Fellows (2022-present). 

• Emil Artin Junior Prize (2005).

• Clay Mathematics Institute LiftOff Fellow (2003).

• Cornwell Prize in Mathematics, University of Michigan (2003).

• Rackham Predoctoral Fellowship, University of Michigan (2002).

• Diploma with Highest Honors, Yerevan State University (1997).

Graduate Students Supervised

• Sheng-Yang Ho, Ph.D., Penn State, current student.

• Jeffrey Katen, Ph.D., Penn State, current student (2024).

Thesis: Explicit algorithms for Drinfeld modules.

• Chien-Hua Chen, Ph.D., Penn State (2022). 

Thesis: On surjectivity of adelic Galois representation for Drinfeld modules.

• Sumita Garai, Ph.D., Penn State (2020).

Thesis: Endomorphism rings of reductions of Drinfeld modules.

• Ashley Jairam, M.A., Penn State (2015).

Thesis: Multiple Approaches to Proving that a Ring is a Non-Euclidean PID.

• Ryan Flynn, Ph.D., Penn State (2013).

Thesis: Quaternion Algebras and Elliptic Curves over Function Fields.

• Supratim Ghosh, M.A., Penn State (2013).

Thesis: Determining Conjugacy Classes of Matrices over Z using Ideal Classes.

Meetings Organized

• CIMPA Summer School on Elliptic Curves and their Applications, July 14-26, 2025, Yerevan, Armenia.

• Special Session on Arithmetic and Geometric Aspects of Drinfeld Modules, Anderson Motives, and Computational Aspects, AMS-UMI Joint International Meeting, July 23-26, 2024, Palermo, Italy.

• Workshop on Number Theory in Function Fields, March 12-13, 2024, Penn State, University Park. 

• Special Session on Drinfeld Modules, Modular Varieties and Arithmetic Applications, AMS-SMF-EMS Joint International Meeting, July 18-22, 2022, Grenoble, France.

• Special Session on Drinfeld Modules, Modular Varieties and Arithmetic Applications, AMS Eastern Sectional Meeting, October 3-4, 2020, Virtual Meeting. Slides of the talks

• New Developments in the Theory of Modular Forms over Function Fields, November 5-9, 2018, Pisa, Italy.

• Arithmetic of Function Fields, June 26-30, 2017, Münster, Germany.

• Penn State–Göttingen International Summer School on Number Theory, July 29–August 18, 2012, Göttingen University, Germany.

• Function Fields and Applications, AMS Eastern Sectional Meeting, October 24–25, 2009, University Park, Pennsylvania.

• Algebra and Number Theory Seminar, Penn State (2007–present).