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Brian R. Williams For each orbit in the space of square-zero supercharges in the supersymmetry algebra, under the action of the spin group and the group of R-symmetries, we give a description of the corresponding twisted theory
BRIAN R. WILLIAMS - GitHub Pages BRIAN R WILLIAMS 665 Commonwealth Ave Boston, MA 02215 (617) 353 2560 bwill22@bu edu EMPLOYMENT Boston University 2022{present Assistant Professor University of Edinburgh 2020{2022 Whittaker Research Fellow Mathematical Sciences Research Institute (now SLMath) 2020 Research Fellow Northeastern University 2018{2020 Zelevinsky Research
NEAT MAPS - brianrwilliams. github. io Brian Williams (Boston University) Financial support has been provided through NSF DMS Award No 2329855 Our thanks to the staff at Providence College for practical and logistical support
MA 225: MULTIVARIABLE CALCULUS, FALL 2024 Brian R Williams Office: CDS 411 email: bwill22@bu edu Summary This course is about calculus in two and (mostly) three dimensions We begin with vectors, lines and planes and then move on to parametrizations of curves and surfaces Then we will cover partial derivatives, directional derivatives, mul-
Introduction - GitHub Pages NATALIE M PAQUETTE AND BRIAN R WILLIAMS Abstract In this article, we introduce basic aspects of the algebraic notion of Koszul duality for a physics audience We then review its appearance in the physical problem of coupling QFTs to topological line defects, and illustrate the concept with
Advances in Mathematics - GitHub Pages R is known as the (n +1)-toroidal algebra It is a natural question whether one can associate to g R a vertex algebra analogous to V K(g), and if so, whether it has a “geometric” realization Our goal in this paper is to show that the answer is affirmative in the case when R = A[z, z−1]for a commutative C-algebra A Connections between
Hilbert schemes, quiver varieties, and infinite-dimensional algebr on R4 Strictly speaking, there are no instantons, but a slight variant of the above construction in terms of the ADHM quiver returns the Hilbert scheme Roughly speaking, the moduli space of ‘non-commutative’ rank one instantons of charge k can be identified with the Hilbert scheme of k points on A2
RAVIOLO VERTEX ALGEBRAS - GitHub Pages NIKLAS GARNER AND BRIAN R WILLIAMS ABSTRACT We develop an algebraic structure modeling local operators in a three-dimensional quantum field theory which is partially holomor-phic and partially topological The geometric space organizing our al-gebraic structure is called the raviolo (or bubble) and replaces the punc-
MATHEMATICS 721 INTRODUCTION TO DIFFERENTIAL TOPOLOGY I FALL 2023 Brian R Williams Office: CDS 411 Email: bwill22@bu edu Time and location Monday, Wednesday, Friday 12:20 PM — 1:10 PM in WED Room 212 (This is the Wheelock College of Education and Human Development located on 2 Silber Way Office hours TBA Course content and summary