Employment

• UC San Diego. SEW Visiting Assistant Professor (2022–).
  • Mentor: Kiran Kedlaya.
• Colorado College. Visiting Assistant Professor (2018–2022).
• UC Berkeley. Graduate Student Instructor/Researcher (2011–2018).
• Université de Strasbourg. Chateaubriand Fellow (2016–2017).
  • Mentor: Christine Huyghe.

Education

• UC Berkeley. PhD in Mathematics (2018).
  • Thesis Advisor: David Nadler.
• UC San Diego. BS in Mathematics (2011).
  • Thesis Advisor: Dragos Oprea.
  • Awards: Highest Distinction, Muir Scholar.
  • Minors: Computer Science, General Biology.

Publications

• Using Exact Tests from Algebraic Statistics in Sparse Multi-way Analyses: An Application to Analyzing Differential Item Functioning. With Luis David Garcia-Puente, Minho Kim, and Flavia Sancier-Barbosa. arXiv:2312.12638 (2023). Supplementary materials.
• From Category \(\mathcal{O}^\infty\) to Locally Analytic Representations. With Matthias Strauch. arXiv:2011.12370 (2020). doi:10.1016/j.jalgebra.2021.09.032 (2022). Errata.
• Deformations of Overconvergent Isocrystals on the Projective Line. arXiv:1710.03404 (2017). doi:10.1016/j.jnt.2019.11.013 (2022).

See also: ORCID, arXiv, zbMATH.

Other Writings

• Introduction to Cryptography (2023). Interactive open source introductory text on cryptography.
• Off on a Tangent (2019). Open source text about several incarnations of the derivative.
• Deformations of Overconvergent Isocrystals on the Projective Line (2018). PhD Thesis. Contains more expository content than my corresponding publication with the same title.
• Exponential at Infinity (2017). A fun short and explicit calculation I did during summer 2017 involving an irregular rank 1 overconvergent differential module over the Robba ring.
• Fundamental Group of a Curve (2012). Expository term paper written for an algebraic geometry course.
• The Euler Characteristic of the Moduli Space of Stable Maps into a Grassmannian (2011). Undergraduate thesis. Mostly expository.

Talks

• Using algebra(ic geometry) to detect differential item functioning (November 2022). Postdoc Seminar, UC San Diego.
• From category \(\mathcal{O}^\infty\) to locally analytic representations (October 2022). Number Theory Seminar, UC San Diego.
• Parametrizing isocrystals (July 2022). \(\mathrm{Spec}(\bar{\mathbb{Q}})\), Fields Institute.
• From category \(\mathcal{O}^\infty\) to locally analytic representations (May 2021). Séminare de géométrie arithmétique, Institut de recherche mathématique de Rennes.
• From category \(\mathcal{O}^\infty\) to locally analytic representations (May 2021). Algebraic Geometry Seminar, Cornell University.
• From category \(\mathcal{O}^\infty\) to locally analytic representations (April 2021). \(p\)-adic Representations and Arithmetic D-modules Seminar, Università degli Studi di Padova.
• Perspective: The Mathematics of Depicting Depth (February 2020). Fearless Fridays, Colorado College.
• How local systems arise (February 2019). Rings and Wings, UC Colorado Springs.
• Rigid local systems and rigid isocrystals (June 2018). Number Theory Seminar, UC San Diego.
• Rigidity: Local systems and beyond (February 2018). Fearless Fridays, Colorado College.
• A Smörgåsbord of Arithmetic Geometry (February 2018). Fearless Fridays, Colorado College.
• Tilting (April 2016). Rigid Analytic Geometry Seminar, UC Berkeley.
• Introduction to D-modules (February 2015). Geometric Representation Theory Seminar, UC Berkeley.
• What is an arithmetic D-module? (April 2014). Geometric Representation Theory Seminar, UC Berkeley.
• \(\ell\)-adic representations (October 2013). Student Number Theory Seminar, UC Berkeley.
• Cotangent complex (October 2013). Geometric Representation Theory Seminar, UC Berkeley.
• Grothendieck ring of varieties (February 2013). Student Algebraic Geometry Seminar, UC Berkeley.
• Jacobians (November 2012). Student Arithmetic Geometry Seminar, UC Berkeley.
• Derived categories (October 2012). Student Algebraic Geometry Seminar, UC Berkeley.

Financial Support

• Zulip Cloud Standard Sponsorship (2023–).
• Euclid Fund (Summer 2021). Department of Mathematics and Computer Science, Colorado College.
• Research and Development Grant (2020). Natural Sciences Division, Colorado College.
• Faculty-Student Collaborative Research Grant (Summer 2019). Colorado College.
• Graduate Student Researcher (Spring 2018). NSF RTG grant DMS-1646385.
• Chateaubriand Fellowship (2016–2017). Embassy of France.
• Summer Grant (2012, 2013, 2016). UC Berkeley.
• Graduate Student Researcher (Spring 2015). FRG: Collaborative Research: In and Around Theory X.
• Chancellor’s Research Scholarship (2009). UC San Diego.

Teaching

Primary Instructor

• UC San Diego.
  • Algebraic Geometry (Winter 2024).
  • Probability and Statistics (Spring 2023).
  • Cryptography (Winter 2023).
  • Modern Algebra 1 (Fall 2022).
• Colorado College
  • Complex Analysis (Spring 2022, Block 7).
  • Number Theory (Spring 2022, Block 5).
  • Probability and Statistics (Spring 2022, Block J).
  • Data Visualization (Fall 2021, Block 4).
  • Probability and Statistics (Fall 2021, Block 1).
  • Number Theory (Spring 2021, Block 7).
  • Probability and Statistics (Spring 2021, Block 6).
  • Algebraic Geometry (Fall 2020, Block 4).
  • Number Theory (Fall 2020, Block 3).
  • Number Theory (Fall 2020, Block 2).
  • Linear Algebra (Spring 2020, Block 8).
  • Probability and Statistics (Spring 2020, Block 6).
  • Calculus 1 (Fall 2019, Block 4).
  • Ordinary Differential Equations (Fall 2019, Block 3).
  • Real Analysis 2 (Fall 2019, Block 2).
  • Linear Algebra (Spring 2019, Block 8).
  • Calculus 1 (Spring 2019, Block 6).
  • Ordinary Differential Equations (Spring 2019, Block 5).
  • Calculus 1 (Fall 2018, Block 3).
  • Linear Algebra (Fall 2018, Block 2).
• UC Berkeley
  • Linear Algebra (Summer 2017).
  • Analysis (Summer 2015).
  • Discrete Mathematics (Summer 2014).

Teaching Assistant

• UC San Diego
  • Linear Algebra (Fall 2023). Lead Instructor: Leesa Anzaldo.
• UC Berkeley
  • Analytic Geometry and Calculus (Fall 2017). Instructor: Alexander Paulin.
  • Linear Algebra and Differential Equations (Spring 2016). Instructor: Xinyi Yuan.
  • Linear Algebra (Fall 2015). Instructor: Olga Holtz.
  • Discrete Mathematics (Fall 2014). Instructor: Zvezdalina Stankova.
  • Linear Algebra (Spring 2014). Instructor: Ken Ribet.
  • Calculus 1A (Fall 2013). Instructor: John Steel.
  • Linear Algebra and Differential Equations (Spring 2013). Instructor: Constantin Teleman.
  • Calculus 1A (Fall 2012). Instructor: Solobodan Simić.
  • Linear Algebra and Differential Equations (Spring 2012). Instructor: Fraydoun Rezakhanlou.
  • Calculus 1A (Fall 2011). Instructor: Ian Agol.
• UC San Diego
  • Calculus (Winter 2011). Instructor: Jiří Lebl.
  • Calculus (Fall 2010). Instructor: Jacques Verstraete.

Grader

• UC San Diego
  • Honors Vector Calculus (Spring 2011). Instructor: John Eggers.
  • Honors Vector Calculus (Spring 2010). Instructor: John Eggers.
  • Honors Vector Calculus (Spring 2009). Instructor: Jeff Rabin.
  • Honors Multivariable Calculus (Winter 2009). Instructor: Jeff Rabin.

Mentor

• Colorado College
  • Research project with Timothy Somerset (Summer 2021). Topic: Lifting varieties.
  • Research project with Elizabeth Wolfe (Spring and Summer 2021). Topic: Lifting varieties.
  • Independent study with Marston Xue (Spring 2021). Topic: Scheme theory.
  • Senior thesis with Ying Wang (2020–2021). Topic: Grassmannian.
  • Senior thesis with Kadin Mangalik (2019–2020). Topic: Sums of cubes over \(\mathbb{F}_p\).
  • Research project with Cinea Jenkins (Summer 2019). Topic: Hodge polygons of F-crystals.
  • Independent study with Ying Wang (Spring 2019). Topic: Category theory.
  • Senior thesis with Zhaopeng Li (2018–2019). Topic: Sums of cubes over \(\mathbb{F}_p\).
• UC Berkeley
  • Directed reading program with Frank Dai (Fall 2017). Topic: Class field theory.
  • Directed reading program with Alice Zhao (Fall 2014). Topic: Elliptic curves.

Conferences

In-Person Attendance

• \(\mathrm{Spec}(\bar{\mathbb{Q}})\) (July 2022). Fields Institute, Toronto. Talk: Parametrizing isocrystals.
• D-modules and Representation Theory (June 2019). Institut de recherche mathématique de Rennes.
• Rocky Mountain Section Meeting of the MAA (April 2019). Fort Lewis College.
• Derived Algebraic Geometry and its Applications (March 2019). MSRI, Berkeley.
• Front Range Number Theory Day (September 2018). Colorado State University.
• RTG Research Workshop (May 2018). University of California, Berkeley.
• Old and New Themes in \(p\)-adic Cohomology (April 2018). University of Arkansas.
• Hot Topics: The Homological Conjectures (March 2018). MSRI, Berkeley.
• D-modules, Geometric Representation Theory, and Arithmetic Applications (December 2017). Oxford University. Poster: Rigid overconvergent isocrystals on \(\mathbb{P}^1\).
• \(p\)-adic Analytic Geometry and Differential Equations (March 2017). CIRM, Luminy.
• Nonarchimedean Geometry and its Applications (June 2015). University of Michigan, Ann Arbor.
• New Geometric Methods in Number Theory and Automorphic Forms (August 2014). MSRI, Berkeley.
• Perfectoid Spaces and their Applications (Februrary 2014). MSRI, Berkeley.
• Geometric Methods in Number Theory (July 2013). MSRI, Berkeley.
• Homotopical Methods in Algebraic Geometry (May 2013). University of Southern California.
• Bridgeland Stability Workshop (March 2013). University of Illinois, Chicago.

Virtual Attendance

• Bayesian Statistics and Statistical Learning: New Directions in Algebraic Statistics (December 2023). IMSI, Chicago.
• Computations and Data in Algebraic Statistics (May 2023). CMO, Oaxaca.
• Global Virtual Sage Days 112.358 (June 2022).
• Franco-Asian Summer School on Arithmetic Geometry (May-June 2022). CIRM, Luminy.
• 2021 Fields Medal Symposium: Peter Scholze (October 2021). Fields Institute, Toronto.
• Spring School: Towards a mod \(p\) Langlands correspondence (April 2021). Universität Duisberg Essen.

Service

Professional

• Developer of open source TallyBot for Zulip.
• Reviewer for zbMATH Open.
• Referee for Journal of Algebra and College Mathematics Journal.

Departmental

• AWM Mentor (2022–2023).
• Assessment Committee (2021–2022).
• Summer Research Survey (2019–2022).
• Website Committee (2021–2022).
• Inclusive Spaces Committee (2019–2021).
• MAA Liaison (2018–2019).

Other

• Organizer of CC’s Hindi-Urdu Mehfil (2020–2022).
• Translator for Mutual Aid NYC (2020).