My research is partially supported by NSF LEAPS-MPS grant #2137577: Moduli of stable surfaces and beyond. 

I like thinking about moduli of surfaces, deformation theory, singularities, computational projects, and projects I can describe to students. I've played a lot with algebraic surfaces. I'm also thinking about moduli of threefolds and Noether-Lefschetz problems. If you like any of these things, let's talk!

Publications:

• Optimal bounds for many T-singularities in stable surfaces, with Fernando Figueroa and  Giancarlo Urzúa. arXiv:2308.05624

• Standard stable Horikawa surfaces, with Sönke Rollenske. To appear in Algebraic Geometry. arXiv: 2211.12059 

• On T-divisors and intersections in \bar{M}_{1,3}, with Stephen Coughlan, Marco Franciosi, Rita Pardini, and Sönke Rollenske. J. London Math. Soc. (2022).

• I-surfaces with one T-singularity, with Marco Franciosi, Rita Pardini, and Sönke Rollenske. Boll Unione Mat Ital. (2021). arXiv: 2012.05838

• Optimal bounds for T-singularities in stable surfaces, with Giancarlo Urzúa. Adv. Math. 345 (2019), 814-844 

• Equations of $\bar{M}_{0.n}$, with Leonid Monin. (2017) Combinatorial Algebraic Geometry, Selected papers from the 2016 Apprenticeship Program, Fields Institute, (eds. G. Smith and B. Sturmfels).

• The Craighero-Gattazzo surface is simply-connected, with Jenia Tevelev and Giancarlo Urzúa. Compositio, 153 (2017), 557-585 

• A boundary divisor in the moduli space of stable quintic surfaces. Int. J. Math, Vol. 28, No. 4 (2017)

Recent and Future Travel:

• Special Session on Birational Geometry and Singularities, Mathematical Congress of the Americas, Miami (July 2025)

• Workshop on Toric Geometry, Oberwolfach (Apr 2025)

• Special Session on A Showcase of Algebraic Geometry at Undergraduate Institutions, AMS Fall Central Sectional Meeting, University of Texas (Sept 2024)

• WIAG 2, Institute for Advanced Study, Princeton NJ (June 2024)

• Collaboration time with Kristin DeVleming, UMass Amherst (May 2024)

• Explicit moduli problems in higher dimensions, Banff (March 2023)

• AGNES Fall 2022, UMass Amherst (November 2022) (link to talk)

• AGNES Summer School on higher dimensional moduli, Brown University (August 2022)

• Collaboration time with Sönke Rollenske in Kathmandu, Nepal (July 2022)

• Classical Elegance: the Geometry of Algebraic Varieties, a conference in honor of Rita Pardini's 62nd birthday, Cortona, Italy (June 2022)

• Collaboration week at ICERM (May 2022)

• Northwestern Algebraic Geometry Seminar (April 2022)

• Joint Math Meetings, (virtual) (April 2022) 

• Collaboration time in Marburg, Germany (funded by an NSF-AWM Mathematics Mentoring Travel Grant) (Jun 2021)

• Free Math Seminar (virtual) (May 2021)

• Algebraic Geometry Seminar, UC Riverside (virtual) (Apr 2021)

• Algebra and Algebraic Geometry Seminar, University of Washington (virtual) (Apr 2021) 

• Seminario Cruz del Sur, Universidad de la Frontera, Temuco, Chile (virtual) (March 2021)

• IMSA, Miami, FL (virtual) (Feb 1-5, 2021)

• AIM Workshop Moduli Problems Beyond Geometric Invariant Theory (virtual) (Jan 25-29, 2021)

• International ZAG Seminar (Sept. 15, 2020) (virtual) Link to the recorded talk 

• Women in Algebraic Geometry, ICERM (July 27-31, 2020) (virtual)

• Collaboration time in Pisa, Italy (Sept 29-Oct 5, 2019)

• IMA workshop Sage and Macaulay2: An Open-Source Initiative (July 22-26, 2019)

• MSRI workshop Recent Progress in Moduli Theory (May 6-10, 2019)

• MSRI workshop Connections for Women: Derived Algebraic Geometry, Birational Geometry and Moduli Spaces (Jan 28-30, 2019)

• Duke University Algebraic Geometry Seminar (Nov 16, 2018)

• Liberal Arts Diversity Officers (LADO) site visit, UT Austin (Sept 21, 2018)

• Modern and Classical Algebraic Surfaces, Krakow (Apr 22-28, 2018)

• AGNES, Rutgers University, followed by a quick visit to Stonybrook University (Apr 13-16, 2018)

• Joint Math Meetings, San Diego CA (Jan 10-13, 2018)

• AGNES, Northeastern University (Oct 13-15, 2017)

• MathFest, Chicago IL (July 26-29, 2017)

• MathPath, Mt. Holyoke College (July 16-22, 2017)

• Princeton Algebraic Geometry Seminar (Mar 7, 2017)

• AIM workshop on Stability and Moduli Spaces, San Jose CA (Jan 9-13, 2017)

• Joint Math Meetings, Atlanta GA (Jan 4-7, 2017)

• Fields Institute (Sept 25-Oct 1, 2016)

• Apprenticeship Weeks, part of the Thematic Semester on Combinatorial Algebraic Geometry, Fields Institute, Toronto ON (Aug 21-Sept 3, 2016)