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!
Together with Han-Bom Moon and Dave Swinarski, I co-organize the AG@PUI virtual seminar. Please reach out if you're interested in giving a 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. Algebraic Geometry. (2024)
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 Grants:
NSF LEAPS-MPS grant #2137577: Moduli of stable surfaces and beyond (2021-2024)
Recent and Future Travel:
Lecture series and outreach activities in association with Padma Kanya Multiple Campus, and Women in Nepal in Mathematical Sciences, Kathmandu, Nepal (Aug - Oct 2025)
Special Session on Topics in Algebraic Geometry, AWM Research Symposium, UW Madison (May 2025) (Organized with Ursula Whitcher)
Workshop on Toric Geometry, Oberwolfach (Apr 2025)
Perspectives on Moduli in Algebraic Geometry, Brin Mathematics Research Center, University of Maryland (Jan 2025)
Pi Mu Epsilon Undergraduate Math Conference, St. Norbert College (Nov 2024)
Special Session on A Showcase of Algebraic Geometry at Undergraduate Institutions, AMS Fall Central Sectional Meeting, University of Texas (Sept 2024) (Organized with Han-Bom Moon and Dave Swinarski)
WIAG 2, Institute for Advanced Study, Princeton NJ (June 2024) (Organized with Sarah Frei, Rohini Ramadas, Ursula Whitcher)
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) (Organized with Melody Chan, Antonella Grassi, Rohini Ramadas, Isabel Vogt)
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)