Note: I do not monitor or control any social media accounts (including Facebook, Instagram, LinkedIn, e𝕏-Twitter, TikTok). I highly recommend this life choice!

News (see also past news)

This spring, I will be teaching Math 157 as an introduction to mathematical formalization, including the use of the package Lean. More details will be posted to the course website. (27 Jan 26; updated 4 Feb 26)

Fast facts (see also my CV)

Teaching for 2025-2026 (see also my past courses):

• fall 2025: none, visiting the Lodha Mathematical Sciences Institute.
• winter 2026: none.
• spring 2026: Math 100C (Algebra); Math 157 (Intro to Mathematical Software: Mathematical Formalization).

In addition, I am the department coordinator for Math 197 (all terms, including summer 2026).

Teaching for 2026-2027 (see also my past courses): None, but I will still serve as the department coordinator for Math 197.

Research areas: number theory, arithmetic algebraic geometry. Specialties: p-adic Hodge theory, p-adic/nonarchimedean analytic geometry, p-adic differential equations, p-adic cohomology in characteristic p, algorithms in arithmetic geometry (particularly related to L-functions), interactions between arithmetic geometry and computer science (cryptography, coding theory, etc.). For more, see my questions of interest.

Editorial boards: Nagoya Mathematical Journal, L-Functions and Modular Forms Database.

Governance:

• Art of Problem Solving Initiative, member of board of directors (this includes governance of Bridge to Enter Advanced Mathematics).
• Pro Mathematica Arte, chair of board of directors (this includes governance of Budapest Semesters in Mathematics and Budapest Semesters in Mathematics Education).
• American Mathematical Society, on AMS Council, Executive Committee of the AMS Council, and various subcommittees/task forces. I previously also served on the Committee on Publications.
• IPAM (Institute for Pure and Applied Mathematics, UCLA), member of the Science Advisory Board.

Current grants: NSF grant DMS-2401536 (sole PI); UC San Diego, Stefan E. Warschawski Chair. I am also an advisory board member for the UTMOST Project (interactive open-source mathematics textbooks), the Southwest Center for Arithmetic Geometry (including the Arizona Winter School), and the PRiME REU.

Professional societies: American Mathematical Society (life member), Mathematical Association of America (life member), Association for Women in Mathematics, National Association of Mathematicians.

Software projects: I am an active user and developer of the SageMath open-source computer algebra system. I am a contributor to the LMFDB. Some of my other projects, including Math 157, can be found on GitHub.

Other websites: I am a curator for MathMeetings, from which my conference list in arithmetic geometry is now derived. I maintain the Putnam Archive within this website; however, Daniel Kane serves as the UC San Diego Putnam coordinator and teaches the Putnam seminar (Math 96).

Maximizing participation: I am a firm believer that addressing mathematical challenges requires a broad range of perspectives, and therefore maximizing participation from all quarters is in the national and global interest. Understanding the obstructions to said participation sometimes requires attention to issues of social justice. My work with the BEAM program seeks to create pathways to STEM careers for high-potential K-12 students from underserved backgrounds. I am a proud alum of the PCMI-IAS Workshop on Rehumanizing Mathematics led by the phenomenal Rochelle Gutiérrez. I am a mentor for CalBridge and Math Alliance. I identify as first-gen. (Note: none of the aforementioned projects discriminate based on protected characteristics.)

Tips for reaching me by email

In case you send me an email and get no response, the following tips may help you diagnose the issue.

• I typically process my email as a last-in-first-out (LIFO) queue, with a postponement for messages that cannot be answered quickly. A single message containing multiple issues may take significantly longer to elicit a response than multiple messages containing single issues.
• At the moment, I am not able to answer requests to review grant proposals or to provide quick opinions or referee reports for articles.
• My direct supervision of students is typically limited to students at UC San Diego, and takes the following forms.
  • For undergraduates: faculty coordinator for an off-campus internship (Math 197), reading course/honors thesis (Math 199/199H).
  • For graduate students: reading course/PhD thesis (Math 299), dissertation committee (including as an external member). In rare cases I may also serve as faculty coordinator for an off-campus internship (Math 297).
  Exceptions include participants in programs affiliated with UCSD, the UC system, or the Math Alliance. I will also serve on non-UCSD dissertation committees.
• Regarding recommendation letters, see my separate page.
• UCSD runs a hyperagressive spam filter which I am not able to completely circumvent, leading to silent loss of some messages or attachments. It might help to change the sending address. In case of emergency, try voicemail (or my non-UCSD email address or cell phone number if you have one of those). See also the disclaimer below.

Fine print

Opinions expressed on this site are mine alone and should not be construed to reflect the views of past or present employers, funding agencies, collaborators, advisees, professional societies, organizations which I serve in a governance capacity, or governments. (This applies even to course websites, although those are crafted to conform to some university policies.) Conversely, off-site material not accurately attributed to me may not reflect my views.

This site is independently hosted (currently by Arvixe) and funded; I have not been compensated for any content.

This site does not collect or store any identifiable user data. It is thus compliant with the EU General Data Protection Regulation and the California Consumer Privacy Act.

While this site has not been fully vetted in this regard, I am committed to making good faith efforts to render this site fully accessible. Feedback on this point is welcome at any time.

Email to/from my institutional address is subject to the California Public Records Act. If you wish to discuss something not pertinent to my employer, ask me to shift the conversation to a different address (but note that UC-related material remains subject to CPRA).

I have not used large language models to create any content for this site, or for my outgoing emails.