I am an Assistant Professor in the mathematics department at the University of Massachusetts Boston.
I study symplectic and contact geometry, using techniques from geometric topology, category theory, homotopy theory, and dynamical systems. My research focuses on unifying symplectic flexibility and hprinciples
with rigidity and Floer theory, leading to new structural results for the Fukaya category and connections to algebraic Ktheory, Anosov dynamical systems, and rational homotopy theory.
Curriculum Vitae.
Email: oleg.lazarev at umb.edu
Recent Papers and Preprints.

Resolutions of toric subvarieties by line bundles and applications
(with A. Hanlon, J. Hicks).
Preprint. p. 163.

The Floer theory of Anosov flows in dimension three (with K. Cieliebak, T. Massoni, A. Moreno).
Preprint. p. 160.

The infinitycategory of stable Liouville sectors (with Z. Sylvan and H. Tanaka).
Preprint. p. 1105.

Localization and flexibilization in symplectic geometry
(with Z. Sylvan and H. Tanaka). Preprint. p. 153.

Primelocalized Weinstein subdomains (with Z. Sylvan).
To appear in Geometry and Topology. p. 129.

Symplectic flexibility and the Grothendieck group of the Fukaya category.
Journal of Topology. 15(1) 204237 (2022). (previously called Geometric and algebraic presentations of Weinstein domains).
 Maximal contact and symplectic structures.
Journal of Topology, 13(3), 10581083 (2020).

Hprinciples for regular Lagrangians. Journal of Symplectic Geometry, 18(4), 1071–1090 (2020).

Simplifying Weinstein Morse functions. Geometry and Topology,
24, 26032646 (2020).

Contact manifolds with flexible fillings. Geometric and Functional Analysis, 30, 188–254 (2020).

Flexible Lagrangians (with Y. Eliashberg and S. Ganatra).
International Mathematics Research Notices, 8, 2408  2435 (2020).
Older Papers (mostly number theory).

A smooth, complex generalization of the HobbyRice theorem
(with E. Lieb).
Indiana University Mathematics Journal, 62(4): 11331141, (2013).

An extension of a proof of the Ramanujan congruences for multipartitions
(with M. Mizuhara, B. Reid, and H. Swisher).
Ramanujan Journal, 45(1): 120, (2018).

Maass waveforms and lowlying zeros
(with L. Alpoge, N. Amersi, G. Iyer, S. Miller, and L. Zhang).
Analytic number theory, 1955, (2015).

Distribution of missing sums in sumsets
(with S. Miller and K. O'Bryant). Experimental Mathematics, 22(2): 132156, (2013).

Generalized more sums than differences sets
(with G. Iyer, S. Miller, and L. Zhang).
Journal of Number Theory, 132(5): 10541073, (2012).

Finding and counting MSTD sets
(with G. Iyer, S. Miller, and L. Zhang).
Combinatorial and Additive Number Theory: CANT 2011 and 2012, 7998, (2014).

A combinatorial proof of a recursive formula for multipartitions,
(with H. Swisher). Integers 12(1): 113127, (2012).
Videos and slides.
Teaching notes.
Research with undergraduates.
Seminars and conferences.