Dr. Samuel Lisi is an Associate Professor of Mathematics in the Department of Mathematics at 番茄社区.
Research Interests
Dr. Lisi has been with the university since 2014 and does research in symplectic topology and conservative dynamics.
He is also interested in:
- The relationship between topology and dynamical systems as mediated by Floer homology and other related symplectic invariants.
- J-holomorphic curves in non-compact symplectic manifolds, notably in symplectizations of contact manifolds.
- Computational topology tools (such as persistent homology) applied in these settings.
Biography
Dr. Sam Lisi obtained his PhD from the Courant Institute (NYU) in 2006, under the supervision of Helmut Hofer. He then had postdoctoral fellowships at the Université de Montréal (supervised by O. Cornéa and F. Lalonde), Stanford University (supervised by Y. Eliashberg), the Université Libre de Bruxelles (supervised by F. Bourgeois), and the Université de Nantes (supervised by V. Colin).
Dr. Lisi was hired at 番茄社区 in 2014, and was promoted to Associate Professor in 2020. He was awarded an NSF EPSCoR RII Track 4 grant in 2020.
Publications
Lisi, Samuel ; Van Horn-Morris, Jeremy; Wendl, Chris. On symplectic fillings of spinal open book decompositions II: Holomorphic curves and classification. arXiv:2010.16330 [math.SG]
Lisi, Samuel ; Van Horn-Morris, Jeremy; Wendl, Chris. On symplectic fillings of spinal open book decompositions I: Geometric constructions. arXiv:1810.12017 [math.SG]
Lisi, Samuel ; Wendl, Chris . Spine removal surgery and the geography of symplectic fillings. Michigan Math. J. 70 (2021), no. 2, 403--422.
Lisi, Samuel ; Rieser, Antonio . Coisotropic Hofer-Zehnder capacities and non-squeezing for relative embeddings. Symplectic Geom. 18 (2020), no. 3, 819--865.
Diogo, Luís ; Lisi, Samuel T. Symplectic homology of complements of smooth divisors. Topol. 12 (2019), no. 3, 967--1030.
Lisi, Samuel ; Marinković, Aleksandra ; Niederkrüger, Klaus. On properties of Bourgeois contact structures. Algebra. Geom. Topol. 19 (2019), no. 7, 3409--3451.
Diogo, Luís ; Lisi, Samuel T. Morse-Bott split symplectic homology. Fixed Point Theory Appl. 21 (2019), no. 3, Paper No. 77, 77 pp.
Appendix by Samuel Lisi and Chris Wendl to Baykur, R. İnanç ; Van Horn-Morris, Jeremy . Families of contact 3-manifolds with arbitrarily large Stein fillings. Differential Geom. 101 (2015), no. 3, 423--465.
Hind, R. ; Lisi, S. Symplectic embeddings of polydisks. Selecta Math. (N.S.) 21 (2015), no. 3, 1099--1120.
Lisi, Samuel T. Dividing sets as nodal sets of an eigenfunction of the Laplacian. Algebra. Geom. Topol. 11 (2011), no. 3, 1435--1443.
Lisi, Samuel T. Homoclinic orbits and Lagrangian embeddings. Int. Math. Res. Not. IMRN 2008, no. 5, Art. ID rnm 151, 16 pp.
Education
Ph.D. Mathematics, New York University (2006)