The integral homology of orientable Seifert manifolds
J. Bryden, T. Lawson, B. Pigott, and P. Zvengrowski, "The integral homology of orientable Seifert manifolds." Topology Appl.. 127 (1-2) (2003).
Curriculum Vitae
Experience
- September 2021 - Present: Associate Professor of Mathematics, Wofford College
- Research in Mathematical Analysis, Partial Differential Equations, Quantum Computing, Machine Learning
- Taught courses in Calculus, Multivariable Calculus, Partial Differential Equations, Statistics
- Served on various college committees
- Referee for various professional mathematics journals
- Reviewer for Math Reviews
- September 2021 - Present: Advisory Board Member, Rosalyn.ai
- Provide advice on development of software used for remote testing and proctoring
- February 2022 - August 2022: QuForce Innovation Fellow
- Research on use of phase-covariant cloning to eavesdrop on BB84 protocol
- Developed circuit to implement phase-covariant cloning
- Transpiled circuit for experiments on IonQ trapped ion quantum computer
- Presented research in online demonstration
- September 2014 - August 2021: Assistant Professor Mathematics, Wofford College
- Research in Mathematical Analysis, Partial Differential Equations
- Taught courses in Calculus, Multivariable Calculus, Partial Differential Equations, Statistics, Differential Equations, Discrete Mathematics, Topology
- Served on various college committees
- Published 10+ research articles in high quality journals, including Selecta Mathematica, Indiana University Mathematics Journal, Topology and Its Applications
- Supervised undergraduate research projects
- Referee for various professional mathematics journals
- Reviewer for Math Reviews
- July 2011 - June 2014: Teacher-Scholar Postdoctoral Fellow, Wake Forest University
- Research in Mathematical Analysis, Partial Differential Equations
- Taught undergraduate and graduate level courses including Calculus, Partial Differential Equations, Measure Theory, Introduction to $C^{\ast}$-Algebras
- Served on various departmental committees
- Supervised undergraduate research projects
Education
- Ph.D. in Mathematics, University of Toronto, 2011
- Thesis: Low Regularity Stability for Subcritical Generalized Korteweg-de Vries Equations
- Advisor: James Colliander
- M.Sc. in Mathematics, University of Toronto, 2002
- Project: Nuts and Bolts of Cyclic Homology
- Advisor: George Elliott
- B.Sc. in Pure Mathematics (Honours), University of Calgary, 2001
Teaching
- 2014 - Present: Wofford College
- 2011 - 2014: Wake Forest University
- 2006 - 2011: University of Toronto
- 2009: Georgian College
For more details on the courses that I’ve taught, please see the list attached to my curriculum vitae.
Publications
Low Regularity Stability for Subcritical Generalized Korteweg-de Vries Equations
B. Pigott, "Low Regularity Stability for Subcritical Generalized Korteweg-de Vries Equations." Ph.D. Thesis, University of Toronto. (2011).
Polynomial-in-time upper bounds for the orbital instability of subcritical generalized Korteweg-de Vries equations
B. Pigott, "Polynomial-in-time upper bounds for the orbital instability of subcritical generalized Korteweg-de Vries equations." Commun. Pure Appl. Anal.. 13 (1) (2014).
Asymptotic stability for KdV solitons on weighted spaces via iteration
B. Pigott and S. Raynor, "Asymptotic stability for KdV solitons in weighted spaces via iteration." Illinois J. Math.. 58 (2) (2014).
On mass concentration for the critical generalized Korteweg-de Vries equation
B. Pigott, "On mass concentration for the critical generalized Korteweg-de Vries equation." Proc. Edinb. Math. Soc. (2). 59 (2) (2016).
Long-term stability for KdV solitons in weighted $H^{s}$ spaces
B. Pigott and S. Raynor, "Long-term stability for KdV solitons in weighted $H^{s}$ spaces." Commun. Pure Appl. Anal.. 16 (2) (2017).
Nonlinear profile decomposition and the concentration phenomenon for supercritical generalized KdV equations
L.G. Farah and B. Pigott, "Nonlinear profile decomposition and the concentration phenomenon for supercritical generalized KdV equations." Indiana Univ. Math. J.. 67 (5) (2018).
Self-excited vibrations for damped and delayed 1-dimensional wave equations
N. Kosovalic and B. Pigott, "Self-excited vibrations for damped and delayed 1-dimensional wave equations." J. Dynam. Differential Equations. 31 (2019).
Self-excited vibrations for damped and delayed higher dimensional wave equations
N. Kosovalic and B. Pigott, "Self-excited vibrations for damped and delayed higher dimensional wave equations." Discrete Contin. Dyn. Syst.. 39 (5) (2019).
Uniqueness for sums of nonvanishing squares
N. Kosovalic and B. Pigott, "Uniqueness for sums of nonvanishing squares." Integers. 20 (2020).
Symmetric vibrations of higher dimensional nonlinear wave equations
N. Kosovalic and B. Pigott, "Symmetric vibrations of higher dimensional nonlinear wave equations." Selecta Math. (N.S.). 28 (3) (2022).
Hopf-Like Bifurcation in a Wave Equation at a Removable Singularity
N. Kosovalic and B. Pigott, "Hopf-Like Bifurcation in a Wave Equation at a Removable Singularity." Submitted. (2022).'
Talks
- Department of Mathematics and Statistics Colloquium, University of South Alabama, Moblie AL, USA (November 2019)
- American Mathematical Society Fall Southeastern Sectional Meeting, University of Florida, Gainesville FL, USA; Special Session on Analysis of Geometric and Evolutionary PDEs (November 2019)
- Student Physcs Seminar, Wofford College, Spartanburg SC, USA (April 2015)
- American Mathematical Society Fall Southeastern Sectional Meeting, University of Alabama at Huntsville, Huntsville AL, USAL; Special Session on Recent Progress in Differential Equations (Marh 2015)
- Applied Math Seminar, University of North Carolina at Greensboro, Greensboro NC, USA (November 2013)
- Differential Equations Seminar, North Carolina State University, Raleigh NC, USA (November 2013)
- Applied Math Club Seminar, North Carolina State University, Raleigh NC, USA (November 2013)
- American Mathematical Society Fall Eastern Sectional Meeting, Temple University, Philadelphia PA, USA; Special Session on Nonlinear Elliptic and Wave Equations and Applications (October 2013)
- Southeastern-Atlantic Regional Conference on Differential Equations (SEARCDE), Wake Forest University, Winston-Salem NC, USA (October 2012)
- Wake Forest Math Club Talk, Wake Forest University, Winston-Salem NC, USA, October 2012
- American Mathematical Society Fall Southeastern Sectional Meeting, Wake Forest University, Winston-Salem NC, USA; special Session on Nonlinear Dispersive Equations (September 2011)
- Wake Forest University Colloquium, Wake Forest University, Winston-Salem NC, USA (February 2011)
Conferences and Workshops
Conferences Organized
- American Mathematical Society Spring Southeastern Sectional Meeting, College of Charleston, Charleston SC, USA; Special Session on Advances in Long-Term Behavior of Nonlinear Dispersive Equations (March 2017) (co-organized with S. Raynor)
- Southeastern-Atlantic Regional Conference on Differential Equations (SEARCDE), Wake Forest University, Winston-Salem NC, USA (October 2012) (co-organized with S. Raynor and S. Robinson)
Conferences Attended
- QHack 2022, Online conference on quantum computing (February 2022)
- International Association for Mathematics and Computers in Simulation, Conference on Nonlinear Evolution equations and Wave Phenomena: Computation and Theory, Athens GA, USA (February 2019)
- French-American Conference on Nonlinear Dispersive PDEs, Centre International de Recontres Mathématiques, Marseilles, FR (June 2017)
- John H. Barrett Memorial Lectures, University of Tennessee, Knoxville, Knoxville TN, USA (May 2016)
- Joint Mathematics Meetinigs, Baltimore MD, USA (January 2014)
- NSF-CBMA Regional Research Conference in the Mathematical Sciences, The Global Behavior of Solutions to Critical Nonlinear Wave Equations, Kansas State University, Manhattan KS, USA (June 2013)
- International Association for Mathematics and Computers in Simulation, Conference on Nonlinear Evolution equations and Wave Phenomena: Computation and Theory, Athens GA, USA (March 2013)
- Joint Mathematics Meetings, San Diego CA, USA (January 2013)
- American Mathematical Society Spring Eastern Sectional Meeting, George Washington University, Washington DC, USA (March 2012)
- Schrodinger Evolution Equations, Banff International Research Station, Banff AB, Canada (April 2006)
- Canadian Operator Symposium, University of Waterloo, Waterloo ON, Canada (June 2004)
- Canadian Mathematical Society Winter Meeting, Ottawa ON, Canada (December 2002)
- Cascade Topology Seminar, Boise State University, Boise ID, USA (May 2001)
- Invariants of 3-Manifolds, Morley AB, Canada (July 1999)
Service and Leadership
- Ongoing: Reviewer for Math Reviews
- Ongoing: Referee for various professional mathematics journals
- Fall 2019 - Present: Benefits Committee, Wofford College
- Fall 2017 - Present: Department of Mathematics Colloquium Organizer, Wofford College
- Fall 2019: Search Committee, Department of Mathematics, Wofford College
- Sprint 2018 - Spring 2021: Calculus Task Force, Department of Mathematics, Wofford College (Chair)
- Fall 2015 - Spring 2018: Member of the Library Committee, Wofford College (Chair from Fall 2017 - Spring 2018)
- Fall 2014 - Spring 2017: Department of Mathematics Colloquium Organizer, Wofford College (joint with J. Spivey)
- February 2017: Piedmont Region II Science Fair Judge, Spartanburg SC, USA
- February 2016:Piedmont Region II Science Fair Judge, Spartanburg SC, USA
- February 2015: Piedmont Region II Science Fair Judge, Spartanburg SC, USA
- Spring 2015: Faculty Mentor for the Collaborative Research Program in Mathematics, Wofford College
- Fall 2012 - Spring 2014: Member of the Analysis Committee, Department of Mathematics, Wake Forest University
- Fall 2012 - Spring 2014: Member of the Graduate Committee, Department of Mathematics, Wake Forest University
- Fall 2011 - Spring 2014: Member of the Math CLub Committee, Department of Mathematics, Wake Forest University
- Fall 2012 - Spring 2013: Member of the Wake Forest University Postdoctoral Association Board, Wake Forest University
- Spring 2002 - Spring 2005: Mentor for the University of Toronto Mentorship Program, Department of Mathematics, University of Toronto
- Fall 2001 - Spring 2002: Graduate Student Representative to the Department of Mathematics Graduate Planning Committee, Department of Mathematics, University of Toronto