**Co-Organizer** (along with Sam Ballas and Kate Petersen) – AMS Fall Southeastern Sectional Meeting – University of Florida (Gainesville, FL) – Nov 2-3, 2019

**Speaker** – Arbeitstagung 2019 on Geometry – Max Planck Institute for Mathematics (Bonn, Germany) – July 7-12, 2019

**Participant** **& US Junior Oberwolfach Fellow** – Differentialgeometrie im Grossen – Mathematisches Forschungsinstitut Oberwolfach (Oberwolfach, Germany) – Jun 30, 2019 – July 5, 2019

**Speaker** – 2019 Ball quotient surfaces and lattices conference, CIRM -Marseille, France – February 25 – March 1, 2019

**Speaker** – UF/FSU Topology and Geometry Meeting -Tallahassee, Florida-February 8-9, 2019

**Lecturer** (along with Claudio Arezzo) – ICTP-EAUMP School on Modern Functional Analysis -Nairobi, Kenya -July 2-8, 2017

**Co-Organizer** (along with Matthew Stover) – AMS Spring Eastern Sectional Meeting – Hunter College (NYC) -May 6-7, 2017

## Research

**24)** Moving Seshadri Constants, and Coverings of Varieties of Maximal Albanese Dimension (with L. Lombardi), arXiv:1902.04098v2 [math.AG].

**20)** On Seshadri constants of varieties with large fundamental group (with G. Di Cerbo), Ann. Sc. Norm. Super. Pisa Cl. Sci. (19), no. 1 (2019), 335-344.

**19)** (with G. Di Brino) Exceptional collections and the bicanonical map of Keum’s fake projective planes. Commun. Contemp. Math. 20, no. 1 (2018) 1650066.

**18)** (with G. Di Cerbo) On the canonical divisor of smooth toroidal compactifications. Math. Res. Lett. 24, no. 4 (2017), 1005-1022.

**17) **The Toledo invariant, and Seshadri constants of fake projective planes. J. Math. Soc. Japan 69, no. 4 (2017), 1601-1610.

**15)** (with M. Stover) Multiple realizations of varieties as ball quotient compactifications. Michigan Math. J. 65, no.2 (2016), 441-447.

**13)** (with G. Di Cerbo) Effective results for complex hyperbolic manifolds. J. London Math. Soc. 91, no.1 (2015), 89-104.

**22)** (with M. Stern) Price inequality and Betti numbers growth on manifolds without conjugate points, arXiv:1704.06354v1[math.DG].

**14)** (with G. Di Cerbo) Positivity in Kahler-Einstein theory. Math. Proc. Cambridge Philos. Soc. 159, no. 2 (2015), 321-338.

**12)** On Kahler-Einstein surfaces with edge singularities. J. Geom. Phys. 86 (2014), 414-421.

**11)** Generic properties of homogeneous Ricci solitons. Adv. Geom. 14, no. 2 (2014), 225-237.

**9)** Seiberg-Witten equations on surfaces of logarithmic general type. Internat. J. Math. 24, no. 9 (2013), 1350074, 23 pages.

**8)** Finite-volume complex-hyperbolic surfaces, their toroidal compactifications, and geometric applications. Pacifica J. Math. 255, no. 2 (2012), 305-315.

**7)** Finite-volume complex surfaces without cuspidal Einstein metrics. Ann. Global Anal. Geom. 41, no. 3 (2012), 371-380.

**6) **Seiberg-Witten equations on certain manifolds with cusps. New York J. Math. 17 (2011), 491-512.

**4)** (with M. Disconzi) Yamabe solitons, determinant of the Laplacian and the uniformization theorem for Riemann surfaces. Lett. Math. Phys. 83 (2008), 13-18.

**3)** Eigenvalues of the Laplacian under the Ricci flow. Rend. Mat. Appl. (7) 27, no. 2, (2007), 183-195.

**23)** (with M. Stover) Punctured spheres in complex hyperbolic surfaces and bielliptic ball quotient compactifications. Online at Trans. Amer. Math. Soc.

**21)** (with M. Stover) Classification and arithmeticity of toroidal compactifications with 3\overline{c}_{2} = \overline{c}^{2}_{1} = 3. Geom. Topol. 22, no. 4 (2018), 2465-2510

**16)** (with M. Stover) Bielliptic ball quotient compactifications and lattices in PU(2, 1) with finitely generated commutator subgroup. Ann. Inst. Fourier (Grenoble) 67, no. 1 (2017), 315-328.

**10)** (with G. Di Cerbo) A sharp cusp count for complex hyperbolic surfaces and related results. Arch. Math.(Basel). 103, no. 1 (2014), 75-85.

**5) **A gap property for the growth of closed 3-manifold groups. Geom. Dedicata 143 (2009), 193-199.

**2)** (with F. Calogero and R. Droghei) On isochronous Shabat-Yamilov-Toda lattices: equilibrium configurations, behavior in their neighborhood, Diophantine relations and conjectures. Phys. Lett. A 355 (2006), 262-270. (as an undergraduate)

**1)** (with F. Calogero and R. Droghei) On isochronous Bruschi-Ragnisco-Ruijsenaars-Toda lattices: equilibrium configurations, behavior in their neighborhood, Diophantine relations and conjecture. J. Phys. A: Math.Â Gen. 39 (2006), 313-325. (as an undergraduate)

## Thesis

Thesis: Aspects of the Seiberg-Witten equations on manifolds with cusps, May 2011

Advisor: Prof. Claude LeBrun