I am a postdoc at the University of Notre Dame working with Jonathan Hauenstein. My research interests are in applied algebraic geometry, algebraic statistics, and phylogenetics.

I received my PhD from the University of Kentucky in 2022, and I graduated with a BS in mathematics from the University of Kansas in 2016. 

Publications

Invariants for level-1 phylogenetic networks under the Cavendar-Farris-Neyman Model (with Benjamin Hollering and Chris Manon) (to appear in Advances in Applied Mathematics)

https://arxiv.org/abs/2102.03431

Generalized Cut Polytopes for Binary Hierarchical Models (with Jane Coons, Benjamin Hollering, and Aida Maraj)  (to appear in Algebraic Statistics)

https://arxiv.org/abs/2008.00043

A Fano compactification of the SL_2(C) free group character variety (with Chris Manon) (to appear in Geometriae Dedicata)

https://arxiv.org/abs/2209.02766

Pre-prints

The Pfaffian Structure of CFN Phylogenetic Invariants (with Benjamin Hollering, Elizabeth Gross, Samuel Martin, and Ikenna Nometa)

https://arxiv.org/abs/2312.07450

Computing Implicitizations of Multi-Graded Polynomial Maps (with Benjamin Hollering)

https://arxiv.org/abs/2311.07678

Multi-graded Macaulay Dual Spaces (with Jonathan Hauenstein)

https://arxiv.org/abs/2310.11587

The well-poised property and torus quotients (with Chris Manon)

https://arxiv.org/abs/2009.09105

Presentations

You can find my talk at the CodEx Seminar about phylogenetic networks from 6/1/21 at this link! Here are some of my other presentations.

• Invariants of Phylogenetic Networks, (SIAM AG 23, Minisymposium Algebraic Methods in Biological systems)

• Invariants of Phylogenetic Networks, (University of Michigan, January 20, 2023)

• Invariants of Phylogenetic Networks, (JMM 2023, Special Session on Applied Enumerative Geometry)

• Fano Compactifications of SL_2 character varieties, (University of Notre Dame, AGCA seminar, Fall 2022)

• Arrangement varieties are well-poised. (UK, algebra seminar, Sept 2020)

• Compactifications of SL_2-character varieties. (UK, algebra seminar, Feb 2020)

• Khovanskii bases and rational, complexity 1 T-varieties. (UK, algebra seminar, Sep 2018)

• A Bijection between parking functions of length n and regions of the Shi Arrangement. (UK, graduate colloquium, Oct 2016)

Conferences

• Algebraic Statistics and Our Changing World (Long Program, Fall 2023)

• SIAM AG 2023

• JMM 2023

• LMS Bath Summer School (July 2021)

• The Triangle Lectures in Combinatorics (Nov. 2019 and Nov. 2020)

• Workshop on Toric Degenerations (July 2020)

• AlGeCom (March 2020, poster on phylogenetic networks)

• Western Algebraic Geometry Series (Nov. 2019, poster on well-poised T-varieties)

• MSRI Toric Varieties Summer School (June 2019)

• Meeting on Applied Algebraic Geometry (April 2019, poster on well-poised T-varieties)

• Algebraic Geometry North-eastern Series (Sept. 2018)

• Graduate Student Combinatorics Conference (April 2017)

Teaching

• University of Notre Dame

  • ACMS 40485 - Applied Complex Analysis (Spring 2024)

  • ACMS 30530 Introduction to Probability (Fall 2022, Spring 2023, Spring 2024)

• University of Kentucky

  • Primary Instructor

    • College Algebra (MA 109)  (Spring 2018 and Fall 2021)

    • Math for Elementary School Teachers I (MA 201) (Fall 2019 and Fall 2020)

    • Math for Elementary School Teachers II (MA 202) (Spring 2020)

    • Matrix Algebra (MA 322) Summer (2018)

    • Intro to Contemporary Mathematics (MA 111) (Summer 2017)

  • Teaching Assistant 

    • Math Excel, Calculus II (MA 114) (Spring 2019)

    • Math Excel, Calculus I (MA 113) (Fall 2018)

    • Calculus II (MA 114)  (Spring 2017 - Fall 2017)

    • Pre-Calculus (MA 110) (Fall 2016)