Overview:

My primary research interests lie in the intersection of metric geometry, data science and applied algebraic geometry/topology with a focus towards algebraic inverse problems. My doctoral work revolved around problems of the form

Problem: Recover $x \in \mathbb{K}^n$ from indirect measurements $m(x)$ governed by algebraic relations on the entries of $x$,

and explored applications in molecular/tomographic imaging technologies like X-Ray crystallography, Computed Tomography (CT), and Cryo-electron microscopy (Cryo-EM). The techniques used in this line of work are applicable to problems beyond molecular imaging, such as: equivariant/invariant machine learning, Euclidean distance geometry and acoustic vision (SLAM). I am also developing a keen interest in Topological Data Analysis (TDA) and its relations to the topics above.

My current publications are listed below. Publications marked with ($\dagger$) list author by contribution. Elsewhere author last names are listed alphabetically. Coauthors are listed in parenthesis following article data.

Research Publications

In preparation

  • ($\dagger$) A dynamic framework to track vector borne diseases spatiotemporally. First author. (Sevara Pulatova, Ram Raghavan, et al.)

Under review

Applied Mathematics

Applied Data Science

Talks

Research talks

  • Sp ‘26: Algebra seminar at GSU, (Generic) Crystallographic phase retrieval and MRA
  • Fa ‘25: Frame Theory day, Crystallographic phase retrieval for vectors sparse under a generic basis
  • Fa ‘25: MU Math and Data Seminar, Recovery of point configurations from unlabeled inter-point distances
  • Fa ‘25: MU Graduate Student Seminar, A primer on Euclidean Distance Geometry with unlabeled distances.
  • Fa ‘25: AMS Fall sectional conference, O(n) beltway problem with one isolated point
  • Su ‘25: SIAM-AG in imaging, Phase Retrieval for signals that are sparse under a generic orthonormal basis
  • Su ‘23: Codes and Expansion (CodEx), The generic crystallographic phase retrieval problem YouTube
  • Sp ‘23: CARES (online), Betti numbers of the Backelin semigroup
  • Sp ‘23: MU Pre-print seminar, Exploring the Backelin semigroup
  • Fa ‘22: MU Pre-print seminar, Every algebraic set in n-space is the intersection of n hypersurfaces
  • Sp ‘20: MathNexus - ISI (online), The generators, relations and type of the Backelin semigroup ring
  • Sp ‘20: GSU math and music depts, La-Pendu: An exploration of neo-Riemannian transforms and Euclidean rhythms
  • Fa ‘19: GURC, The minimal generating set of the presentation ideal of the Backelin semigroup ring
  • Sp ‘19: GSU math and music depts, Neo-Riemannian transformation and Sierpinski like walks across the Tonnetz
  • Sp ‘18: GSU algebra seminar, On the number of generators for the presentation ideal of a semigroup ring

Co-curricular and outreach talks

  • Su ‘26: GSU Math Path, Career panelist.
  • Sp ‘26: MU Graduate Student Seminar, Euclidean distortion of orbit spaces
  • Su ‘23: GSU Math Path, A workshop on the peer review process.
  • Fa ‘22: MU Graduate Student Seminar, All the money in the world cannot buy me 151 chicken McNuggets.
  • Fa ‘22: MU Pre-print seminar, Every algberaic set in n-space is the intersection of n hypersurfaces.
  • Sp ‘22: GSU MSURC The art of reasoning: why it is meaningful to pursue a graduate degree in mathematics.
  • Sp ‘20: GSU Math-music workshop, La-Pendu: exploration of neo-Riemannian transformations and Euclidean rhythms.
  • Sp ‘19: GSU Math-music workshop, Neo-Riemannian transformations and Sierpenski-like walks across the Tonnetz.

Posters

  • Fa ‘23: WAGS, Second moment of dihedral actions, incidence varieties and ensuring signal recovery.
  • Su ‘20: eCARs (online), Betti-sequence for the Backelin semigroup
  • Sp ‘19: GSURC, Numerical semigroup rings and Frobenius coin exchange problem
  • Fa ‘18: GURC, On the existence of an arb. large number of gens for the presentation ideal of semigroup rings
  • Fa ‘18: UMS, On the minimal number of relations among the generators of Backelin semigroup

Awards and achievements

  • Sp ‘26, Blumenthal (dissertation) award, Entailed a $1200 prize
  • Sp ‘23, Excellence in graduate teaching, Entailed a $300 prize
  • Sp ‘23, Huckaba scholarship in algebra, Entailed a $1,200 prize
  • Fa ‘21, Excellence in qualifying exams - Algebra, Entailed a $300 prize
  • Fa ‘21, Excellence in qualifying exams - Analysis, Entailed a $300 prize
  • Sp ‘21, V.V. Lavroff award for exceptional graduate student achievements, Entailed a $600 prize
  • Sp ‘19, V.V. Lavroff award for exceptional undergraduate student achievements, Entailed a $300 prize
  • Fa ‘17, Kirkland Sattlemeyer Scholarship, Entailed a 2000 x 2 = $4,000 waiver for my tuition
  • Fa ‘16, Campus Atlanta Scholarship, Waived the out-of-state portion ~$18,000/yr of my tuition for four years