Advising

Current graduate students

• Sucharita Mallick, Mathematics PhD student, UF, 5th year. Eleanor Ewing Ehrlich Award in 2026. [Oral Exam Slides]
• Kushagri Sharma, Mathematics PhD student, UF, 4th year. UF Graduate Student Mentoring Award in 2026, and Teaching Award in 2026. [Oral Exam Slides, Poster]
• Carl (Jingkai) Ye, Mathematics PhD student, UF, 4th year.
• Jenna Fant, Mathematics PhD student, UF, 3rd year. Joseph A. Alfred Award in 2025 and Teaching Award in 2026.
• Péguy Kem-Meka, Data Science PhD student, Quantum Leap Africa, 5th year, co-advised with Ismail Akhalwaya.

Former graduate students

• Michael Moy, Mathematics PhD, 2024, CSU. Outstanding Graduate Teaching Award in 2023. Currently a Research Scientist at the CSU Energy Institute. [PhD Thesis, PhD Slides, Master’s Thesis, Master’s Slides]
• Lander Ver Hoef, Mathematics PhD, 2023, CSU, co-advised with Emily King. Currently a Postdoctoral Researcher at the Cooperative Institute for Research in the Atmosphere. [PhD Thesis, PhD Slides]
• Daniel Vargas-Rosario, Mathematics PhD, 2023, CSU. Currently a Lecturer in the Department of Mathematics, CU Boulder. [PhD Thesis, PhD Slides]
• Brittany Story, Mathematics PhD, 2022, CSU. Currently a Data Scientist at LMI. [PhD Thesis, PhD Slides, Master’s Thesis, Master’s Slides]
• Lara Kassab, Mathematics PhD, 2021, CSU. Outstanding Graduate Teaching Award in 2020. Currently an Assistant Professor in the Department of Mathematics at California State University, Fullerton. [PhD Thesis, PhD Slides, Master’s Thesis, Master’s Slides]
• Johnathan Bush, Mathematics PhD, 2021, CSU. Currently an Assistant Professor in Mathematics & Statistics at James Madison University. [PhD Thesis, PhD Slides, PhD Proposal, Master’s Thesis, Master’s Slides]
• Mark Heim, Mathematics Masters, 2020, CSU, co-advised with Chris Peterson. [Master’s Thesis, Master’s Slides]
• Joshua Mirth, Mathematics PhD, 2020, CSU. Outstanding Graduate Teaching Award in 2019. Currently a Faculty Member in Mathematics at St John’s College. [PhD Thesis, Master’s Thesis, Master’s Slides]

My graduated PhD students are also listed on my Math Genealogy page.

Former postdoctoral researcher

• Alex Elchesen, Postdoctoral Fellow, CSU, 2022-2025, co-advised with Amit Patel. Currently on the Google Lanes (part of Google Maps) team.

Undergraduate students

I am invested in providing opportunities for undergraduate student research. In 2023-24, I lead an experimental research group which resulted in the paper Gromov-Hausdorff distances between quotient metric spaces with 7 undergraduate and 2 graduate student co-authors. In 2024-26, I led a second experimental research group in which we are writing the paper Vietoris-Rips complexes of ellipses at larger scales with 4 undergraduate and 1 graduate student co-authors.

Unsolicited advice

• Letters: Instructions if I am writing a letter of recommendation for you.
• PhD applications: Applying to UF to be a PhD student with me.
• Academic jobs: Sample materials and tips for applying to academic jobs after your PhD.
• MSC codes: Tips for choosing MSC codes for a paper with me.
• Visitors: Things to do near Gainesville.

Where can I find resources if I am interested in applied topology?

• See this partial list of applied topology software options.

I am supported by the U.S. National Science Foundation CAREER Grant DMS 2540172. The opinions, findings, and conclusions or recommendations expressed are mine and do not necessarily reflect the views of the National Science Foundation.

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