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 (remember to refresh cache).


Research Interests

Mirror symmetry, especially aspects related to noncommutative Hodge theory and symplectic topology.

Publications and Preprints

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, to appear in Geometry and Topology, 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, 59 pages., arXiv:1611.06849, submitted.

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, to appear in Geometry and Topology, arXiv:1701.02262

Ganatra, S., Pomerleano, D., Symplectic cohomology rings of affine varieties in the topological limit, to appear in Geometric and Functional Analysis (GAFA), arXiv:1811.03609

Teaching

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)

Appointments held

Research Associate, University of Cambridge

EPSRC Postdoctoral Fellowship, Imperial College London

Postdoctoral Researcher, Kavli IPMU, University of Tokyo

Education

PhD in Mathematics, University of California, Berkeley

B.A. in Mathematics, University of Pennsylvania