**Papers by Topics:**

**Tropical Semirings and Applications in TDA**- "Symmetric and r-Symmetric Tropical Polynomials and Rational Functions" (joint work with Gunnar Carlsson) In
*Journal of Pure and Applied Algebra*, Volume 220(11), pages 3610-3627. - "Tropical Coordinates on the Space of Persistence Barcodes"
*in Foundations of Computational Mathematics*. - "Symmetric Polynomials in Tropical Algebra Semirings" (joint work with Davorin Lesnik)
*in Journal of Symbolic Computation*. - "Symmetric Polynomials in Upper-bound Semirings" (joint work with Davorin Lesnik)
*submitted*. - "Tropical Sufficient Statistics for Persistent Homology" (joint work with Anthea Monod, Juan Angel Patino-Galindo, Lorin Crawford)
*accepted to SIAM Journal on Applied Algebra and Geometry*. - "Geometric and Probabilistic Limit Theorems in Topological Data Analysis" (joint work with Christian Lehn, Vlada Limic)
*submitted*.

- "Symmetric and r-Symmetric Tropical Polynomials and Rational Functions" (joint work with Gunnar Carlsson) In
**Connecting Algebraic Geometry and Applied Topology**The main reason for doing a postdoc at the Max-Planck Institute was to learn more algebraic geometry and to deepen the connections between the applied topology and applied algebraic geometry communities. The following paper is the first result in that direction.- "Learning Algebraic Varieties from Samples" (joint work with Bernd Sturmfels, Paul Breiding and Madeleine Weinstein)
*in Revista Matemática Complutense*

- "Learning Algebraic Varieties from Samples" (joint work with Bernd Sturmfels, Paul Breiding and Madeleine Weinstein)
**Parametrized Homology, Alexander Duality and Applications to Sensor Networks**- "Parametrized Homology" (joint work with Gunnar Carlsson, Vin de Silva and Dmitriy Morozov)
*to appear in Algebraic and Geometric Topology*. - "Alexander Duality for Parametrized Homology." In
*Homology, Homotopy and Applications*, Volume 15(2), pages 227-243.

- "Parametrized Homology" (joint work with Gunnar Carlsson, Vin de Silva and Dmitriy Morozov)
**Skeletonization Problem**- "The Higher-Dimensional Skeletonization Problem" (joint work with Vitaliy Kurlin and Davorin Lesnik)
*In Advances in Applied Mathematics*.

- "The Higher-Dimensional Skeletonization Problem" (joint work with Vitaliy Kurlin and Davorin Lesnik)
**Shape of Molecules**- "Learning Varieties from Samples" Speaker at the Joint Math Meetings, AWM Workshop:WinCompTop: Applied and Computational Topology, January 2019.
- "Learning Varieties from Samples" A mini-course organizer at the ``5ta ESCUELA DE ANALISIS TOPOLOGICO DE DATOS'', November 2018.
- "Learning Varieties from Samples" Speaker at the ``Workshop on Topology: Identifying Order in Complex Systems'', November 2018.
- "Learning Varieties from Samples" Speaker at the ``Symposium on Computational Geometry 2018'', June 2018.
- Attended the Abel Symposium Topological Data Analysis, June 2018 (participation by invitation only).
- Attended the Topological Data Analysis: Developing Abstract Foundations at the Banff International Research Station, August 2017 (participation by invitation only).
- "Tropical Coordinates on the Space of Persistence Barcodes" Speaker at the ``Mathematical Congress of the Americas'', July 2017.
- "Tropical Coordinates on the Space of Persistence Barcodes" Speaker at the ``Foundations of Computational Math'', July 2017.
- "Tropical Coordinates on the Space of Persistence Barcodes" Speaker at the ``Union College Mathematics Conference'', December 2016.
- "Tropical Coordinates on the Space of Persistence Barcodes" Speaker at the ``AMS Fall Southeastern Sectional Meeting'', November 2016.
- "Tropical Coordinates on the Space of Persistence Barcodes" Speaker at the ``SIAM Central States Section'' conference, October 2016.
- "Tropical Coordinates on the Space of Persistence Barcodes" Speaker at the ``ATMCS'' conference, July 2016.
- "Parametrized homology and Parametrized Alexander Duality Theorem'' Speaker at the Young Topologists' Meeting, July 2015.
- "Parametrized homology and Parametrized Alexander Duality Theorem'' Invited speaker at the Summer School on Computational Topology , June 2015.
- "Parametrized homology and Parametrized Alexander Duality Theorem'' Speaker at the AWM Research Symposium, April 2015.
- "Classification of Hepatic Lesions using the Matching Metric." Invited speaker at the Summer School on Computational Topology and Topological Data Analysis, July 2013. [abstract]
- "A Higher-Dimensional Homologically Persistent Skeleton." [poster], Applied Algebraic Topology, August 2017.
- "Alexander Duality for Parametrized Homology." [poster], Algebraic Topology - Methods, Computation and Science 6, May 2014.
- "Alexander Duality for Parametrized Homology." [poster], Topological Systems: Communication, Sensing, and Actuation, March 2014.

**Conferences:**

**Poster Presentations:**