University of Western Ontario | bboudre7@uwo.ca |
---|---|
Department of Mathematics | https://bboudreaux28.gitlab.io/site |
Middlesex College | Phone: +1 (519) 661-3639 |
London, Ontario, Canada N6A 5B6 |
Education
- Texas A&M University
- Ph.D., Mathematics, 2021
- Advisor: Harold P. Boas
- M.S., Mathematics, 2016
- Nicholls State University
- B.S., Mathematics, 2013
Employment
- University of Western Ontario
- Postdoctoral Fellow
- Texas A&M University
- Teaching Assistant
- Nicholls State University
- Graduate Assistant
Preprints/Publications
- "
$T$
-polynomial convexity and holomorphic convexity"- Preprint (2024). Submitted.
- “Meromorphic convexity on Stein manifolds” (joint with Rasul Shafikov)
- Preprint (2023). Submitted.
- “Hypersurface convexity and extension of Kähler forms” (joint with Purvi Gupta and Rasul Shafikov)
- Preprint (2023). Submitted.
- “Relationships between the Bergman kernels of Hartogs domains and their base”
- Preprint (2022). Submitted.
- “On rational convexity of totally real sets” (joint with Rasul Shafikov)
- Bull. London Math. Soc. 55: 2158–2175.
- Bergman Kernels, Hartogs Domains, and the Wiegerinck Problem
- Thesis (Ph.D.)–Texas A&M University. 2021.
- “On the dimension of the Bergman space of some Hartogs domains with higher dimensional bases”
- J Geom Anal. 31:8 (2021) 7885–7899.
- “Equivalent Bergman spaces with inequivalent weights.”
- J Geom Anal 29:1 (2019) 217–223.
Teaching
- University of Western Ontario
- Instructor, Math 3124/9024 (Complex Analysis I—undergrad/grad cross-listed course), Fall 2023
- Instructor, Calculus 1000, Fall 2023
- Instructor, Applied Mathematics 1201, Winter 2023
- Instructor, Calculus 1000, Fall 2022
- Instructor, Applied Mathematics 1201, Winter 2022
- Instructor, Calculus 1000, Fall 2021
- Texas A&M University
- Instructor, Finite Mathematics, Summer 2021
- Instructor, Preparatory Course for Complex Analysis Qualifying Examination, Summer 2020
- Instructor, Finite Mathematics, Fall 2019
- Instructor, Preparatory Course for Geometry/Topology Qualifying Examination, Summer 2018
- Instructor, Topics in Contemporary Mathematics II, Spring 2018
- Instructor, Preparatory Course for Geometry/Topology Qualifying Examination, Summer 2017
- Texas A&M University
- Teaching Assistant, Engineering Mathematics II, Spring 2021
- Teaching Assistant, Engineering Mathematics II, Spring 2020
- Teaching Assistant, Finite Mathematics, Summer II 2019
- Grader, Finite Mathematics, Summer I 2019
- Grader, Differential Geometry I, Spring 2019
- Teaching Assistant, Functions, Trignometry and Linear Systems, Fall 2018
- Grader, Foundations of Mathematics, Fall 2017
- Teaching Assistant, Engineering Mathematics I, Spring 2017
- Grader, Theory of Functions of a Complex Variables II, Spring 2017
- Teaching Assistant, Functions, Trignometry and Linear Systems, Fall 2016
- Teaching Assistant, Engineering Mathematics I, Summer 2016
- Grader, Theory of Functions of a Complex Variable II, Spring 2016
- Grader, Theory of Functions of a Complex Variable I, Fall 2015
- Teaching Assistant, Calculus, Spring 2015
- Teaching Assistant, Analytic Geometry and Calculus, Fall 2014
- Nicholls State University
- Mew Lab Tutor, Math 101, Fall 2013-Summer 2014
Talks
- Banff International Research Station
- Convexity in Several Complex Variables, Interactions between Symplectic and Holomorphic Convexity in 4 Dimensions, Spring 2023
- Central Michigan University
- On Rational Convexity of Totally Real Sets, T.A.G. Seminar, Fall 2022
- Joint Mathematics Meetings
- Equivalent Bergman Spaces with Inequivalent Weights, AMS Special Session on Several Complex Variables Geometric PDE and CR Geometry. Spring 2022
- Ohio State University, The
- Rational Convexity of Totally Real Sets, Midwest SCV Conference, Spring 2023
- Syracuse University
- On Rational Convexity of Totally Real Sets, Analysis Seminar, Fall 2022
- Texas A&M University
- Bergman Kernels, Hartogs Domains, and The Wiegerinck Problem, Dissertation defense, Spring 2021
- The Boundary Behavior of Biholomorphic Maps: An Example by B. L. Fridman, Several Complex Variables Seminar, Fall 2017
- The Szegő Kernel, Projection, and Applications, Master’s Presentation, Spring 2016
- University of Western Ontario
- Convexity in Several Complex Variables, Analysis Seminar, Spring 2023
- Nef Line Bundles From a Curvature Perspective, Analysis Seminar, Spring 2022
- Weighted Bergman Kernels on Domains in
$\mathbb{C}^n$
, G.A.P. Seminar, Fall 2021
- Virtual East-West Several Complex Variables Seminar
- The Wiegerinck Problem in the Class of Hartogs Domains, Spring 2021
Service
- University of Western Ontario
- Co-coordinator, Analysis Seminar, Academic Year 2023
- Co-coordinator of Colloquium, Academic Year 2022
- Co-coordinator (along with Michael Francis), Geometry, Analysis, and Physics (GAP) Seminar, Fall 2021
- Texas A&M University
- Host for Prospective Graduate Student, Spring 2019
- Invited Panelist, First Year Graduate Student Seminar, Summer 2017
- Coordinator, Several Complex Variables Seminar, Fall 2017-Summer 2021
- Referee Service
- Duke Mathematical Journal
- Calculus of Variations and Partial Differential Equations