Mathematics and Statistics
Mathematics plays a critical role in efforts to understand the nature of the physical universe and in the continuing development of technology. Emphasizing excellence in both research and teaching, the Mathematics & Statistics Department at BU offers a wide range of courses in pure and applied mathematics and statistics at the undergraduate and graduate level. The department has particularly strong groups in dynamical systems and applications, geometry/topology, mathematical physics, number theory, and probability and statistics.
Department chair: Tasso Kaper
Campus address: 111 Cummington Street
All materials in OpenBU are subject to Title 17 of the U.S. Code.
Collections in this community
(2020)We construct a Kodaira-Spencer map from the big quantum cohomology of a sphere with three orbifold points to the Jacobian ring of the mirror Landau-Ginzburg potential function. This is constructed via the Lagrangian Floer ...
(International Press of Boston, 2020)We prove that for a compact toric manifold whose anticanonical divisor is numerically effective, the Lagrangian Floer superpotential defined by Fukaya–Oh–Ohto–Ono  is equal to the superpotential written down by using ...
(2020)Given any smooth cubic curve E ⊆ P^2, we show that the complex affine structure of the special Lagrangian fibration of P^2 ⧵ E constructed by Collins-Jacob-Lin  coincides with the affine structure used in ...
(Springer Science and Business Media LLC, 2020-02)We construct a Lagrangian torus fibration on a smooth hypertoric variety and a corresponding SYZ mirror variety using T-duality and generating functions of open Gromov–Witten invariants. The variety is singular in general. ...
Single cell transcriptomics reveals opioid usage evokes widespread suppression of antiviral gene program (Nature Research (part of Springer Nature), 2020-05-26)Chronic opioid usage not only causes addiction behavior through the central nervous system, but also modulates the peripheral immune system. However, how opioid impacts the immune system is still barely characterized ...
Extensions of Rosenblatt's results on the asymptotic behavior of prediction error variance for deterministic stationary sequences (2020-11-17)One of the main problem in prediction theory of discrete-time second-order stationary processes X(t) is to describe the asymptotic behavior of the best linear mean squared prediction error in predicting X(0) given X(t); ...
(2019)In this talk, I explain a Morse model for the equivariant Lagrangian Floer theory, and apply it to SYZ fibers to construct an equivariant SYZ mirror. This method computes equivariant disc potentials for immersed SYZ ...
(Springer Berlin Heidelberg, 2014)Portfolio turnpikes state that, as the investment horizon increases, optimal portfolios for generic utilities converge to those of isoelastic utilities. This paper proves three kinds of turn- pikes. In a general ...
(2014)When the planning horizon is long, and the safe asset grows indefinitely, isoelastic portfolios are nearly optimal for investors who are close to isoelastic for high wealth, and not too risk averse for low wealth. We prove ...