University of Massachusetts, Boston
100 William T, Morrissey Blvd,
Boston, MA 02125
More details can be found in my CV (last updated 11/2016) and Research Statement.
Mirror symmetry, especially aspects related to noncommutative Hodge theory and symplectic topology.
Gluck, H., DeTurck, D., Pomerleano, D., Vela-Vick, S., The Four-vertex theorem and its converse, Notices of the AMS, Vol. 54, 192-207., arXiv:math/0609268.
Pomerleano, D., Curved String topology and tangential Fukaya categories, Proc. Symp. Pure Math. 85, 409-422., arXiv:1111.1460
Pomerleano, D., Curved String topology and tangential Fukaya categories II. PhD dissertation., arXiv:1208.4881
Lin, K.H., Pomerleano, D., Global Matrix Factorizations, Math Research Letters, Vol. 20, 91-106., arXiv:1101.5847
Halpern-Leistner, D., Pomerleano, D., Equivariant Hodge theory and noncommutative geometry, Geometry & Topology 24 (2020), 2361-2433., arXiv:1507.01924
Pomerleano, D., On the homological algebra of relative symplectic geometry, 25 pages., Advanced Studies in Pure Mathematics no. 83, 2019 pp. 331-359.
Chan, K., Pomerleano, D., Ueda, K., Lagrangian torus fibrations and homological mirror symmetry for the conifold, Comm. Math. Phys. 341 (2016), no. 1, 135-178., arXiv:1305.0968
Chan, K., Pomerleano, D., Ueda, K., Lagrangian sections on mirrors of toric Calabi-Yau 3-folds, 62 pages., arXiv:1602.07075.
Ganatra, S., Pomerleano, D., A log PSS morphism with applications to Lagrangian embeddings, Journal of Topology 14 (2021), 291-368., arXiv:1611.06849
Ganatra S., Pomerleano, D., Remarks on symplectic cohomology of smooth divisor complements, 19 pages., Draft.
Cristofaro-Gardiner, D., Hutchings, M., Pomerleano, D., Torsion contact forms in three dimensions have two or infinitely many Reeb orbits, Geometry & Topology 23 (2019), 3601-3645. arXiv:1701.02262
Ganatra, S., Pomerleano, D., Symplectic cohomology rings of affine varieties in the topological limit, Geometric and Functional Analysis 30 (2020), 334-456. arXiv:1811.03609
Pomerleano, D., Intrinsic mirror symmetry and categorical crepant resolutions, 90 pages., arXiv:2103.01200
Cristofaro-Gardiner, D., Pomerleano, D., Prasad, R., Zhang, B., A note on U-cyclic elements in monopole Floer homology, 13 pages, arxiv:2110.13844, to appear in Proceedings of the AMS.
González, E., Mak, C.Y., Pomerleano, D., Affine nil-Hecke algebras and Quantum cohomology, 38 pages, arxiv:2202.05785, to appear in Advances in Math.
González, E., Mak, C.Y., Pomerleano, D., Coulomb branch algebras via symplectic cohomology, 56 pages, arxiv:2305.04387.
Pomerleano, D., Seidel, P., The quantum connection, Fourier-Laplace transform, and families of A-infinity-categories, 151 pages, arxiv:2308.13567.
Ganatra, S., Hanlon, A., Hicks, J., Pomerleano, D., Sheridan, N., Integrality of mirror maps and arithmetic homological mirror symmetry for Greene-Plesser mirrors, 30 pages, arxiv:2312.01949.
Calculus I (Math 140) (UMB, Fall 2018 and Spring 2019)
Fourth year course on Differential topology (Imperial, 2016)
Fourth year course Differential topology (Imperial, 2015)
RTG summer research program for undergraduates (Homological algebra) (Berkeley, 2012)
Research Associate, University of Cambridge
EPSRC Postdoctoral Fellowship, Imperial College London
Postdoctoral Researcher, Kavli IPMU, University of Tokyo
PhD in Mathematics, University of California, Berkeley
B.A. in Mathematics, University of Pennsylvania