• TBA, Montreal Online Biweekly Inter-University Seminar on Analytic Number Theory (MOBIUS ANT), 2022

• "Most odd-degree binary forms fail to primitively represent a square," Lightning Talk at Annual Meeting of Simons Collaboration on Arithmetic Geometry, Number Theory, and Computation, 2022

• "The second moment of the size of the \(2\)-Selmer group of elliptic curves," Number Theory Seminar, Princeton University/IAS, 2021.

• "\(2\)-Selmer groups, \(2\)-class groups, and the arithmetic of binary forms," Palmetto Joint Arithmetic and Modularity Series (PAJAMAS) III, Invited Graduate Speaker, 2021

• "The second moment of the size of the \(2\)-Selmer group of elliptic curves," Workshop on Explicit Methods in Number Theory, Mathematisches Forschungsinstitut Oberwolfach, 2021.

• "Average \(2\)-torsion in the class groups of rings associated to binary \(n\)-ic forms," Bhargava Seminar, Princeton University, 2020.

• "Average \(2\)-torsion in the class groups of rings associated to binary \(n\)-ic forms," Number/Representation Theory Seminar, University of Toronto, 2020.

• "Most hyperelliptic curves are pointless," Bhargava Seminar, Princeton University, 2019.

• "Inflectionary invariants for plane curve singularities," Special Session on Research in Mathematics by Undergraduates, JMM, 2018.

• "Surjectivity of Galois representations in rational families of abelian varieties," Algebra, Geometry, and Number Theory Seminar, Tufts University, 2017.

• "Inflection points of linear systems on families of curves," Algebraic Geometry Seminar, Stanford University, 2017.

• "Analysis on surreal numbers: functions and integration," ASL Special Session, JMM, 2016.

• "Surreal analysis: an analogue of real analysis for surreal numbers," Siemens Competition Regional Finals, California Institute of Technology, 2012.

Contributed Talks

• "Counting lattice points in cusps of fundamental domains," Number Theory Tea, Princeton University, 2020.
• "Three lectures on the average size of \(2\)-Selmer groups of elliptic curves," Bhargava Seminar, Stanford University, 2020.
• "On the paucity of soluble superelliptic equations," Bhargava Seminar, Stanford University, 2020.

• "On the paucity of soluble superelliptic equations," Bhargava Seminar, Princeton University, 2019.

• "Inflectionary invariants for local complete intersection curve singularities," Graduate Student Seminar, Princeton University, 2018.

• "Inflectionary invariants for plane curve singularities," LinkedIn Bangalore, 2018.

• "Surjectivity of Galois representations in rational families of abelian varieties," JMM, 2017.

• "Permutations that destroy arithmetic progressions in elementary p-groups," JMM, 2017.

• "Elliptic curve variants of the least quadratic nonresidue problem and Linnik's Theorem," JMM, 2016.

• "Permutations that destroy arithmetic progressions," Harvard Math Table, 2016.

• "On arboreal Galois representations of rational functions," JMM 2015.

• "How small is that prime?," Harvard Math Table, 2015.

• "Arboreal Galois representations of rational functions," Harvard Math Table, 2014.

• "Surreal analysis: an analogue of real analysis for surreal numbers," Harvard Math Table, 2013.

• "Surreal analysis: an analogue of real analysis for surreal numbers," CMS Summer Meeting, 2013.

Research Experience

• PhD Thesis, Department of Mathematics, Princeton University

  • ​2017-present: Working in arithmetic invariant theory (advisor: Manjul Bhargava)​​​​​

• Arizona Winter School, University of Arizona

  • 2020: Worked in classical Chabauty (advisor: David Zureick-Brown)

  • 2019: Worked in \(\mathbb{A}^1\)-enumerative geometry (advisor: Kirsten Wickelgren)

• Senior thesis, Department of Mathematics, Harvard University

  • 2016-2017: Worked in algebraic geometry (advisors: Joe Harris & Anand Patel)

• Emory REU, Department of Mathematics, Emory University

  • Summer 2016: Worked in arithmetic geometry (advisors: David Zureick-Brown & Ken Ono)

  • Summer 2015: Worked in analytic number theory (advisors: Jesse Thorner & Ken Ono)

• Duluth REU, Department of Mathematics, University of Minnesota Duluth

  • Summer 2015: Worked in combinatorial number theory (advisors: Noam D. Elkies & Joseph Gallian)

  • Summer 2014: Worked in Galois representations (advisor: Joseph Gallian)

• Independent study, Department of Mathematics, Stanford University

  • 2011-2014: Worked in logic & analysis (advisor: Simon Rubinstein–Salzedo)

  • 2011-2013: Worked in analytic number theory (advisor: Daniel M. Kane)