Teaching and Supervision

Here are some lecture notes inspired from a course on functional analysis that I taught in May-August 2020, 2021, and 2022.

Oct--Dec. 2024. Lecturer for the class Mathematics and Satistics (1st year) at the University of Trieste, Italy.

May--Aug. 2023. Lecturer for the class Functional Analysis (4th year) at UNSW Sydney.

Jan.--May 2023. Lectuer for the class History of Mathematics (3rd year) at UNSW Sydney.

Sept--Dec. 2022. Lecturer for the class Calculus (1st year) at UNSW Sydney.

June--Aug. 2022. Lecturer for the class Functional Analysis (4th year) at UNSW Sydney.

Sept.--Dec. 2021. Lecturer for the class Higher Complex Analysis (2nd year) at UNSW Sydney.

June--Aug. 2021. Lecturer for the class Functional Analysis (4th year) at UNSW Sydney.

Sept.--Dec. 2020. Lecturer for the class Higher Complex Analysis (2nd year) at UNSW Sydney.

June--Aug. 2020. Lecturer for the class Functional Analysis (4th year) at UNSW Sydney.

Sept.--Dec. 2019. Lecturer for the class Higher Complex Analysis (2nd year) at UNSW Sydney.

Feb.--May 2019. Lecturer for the class Calculus (1st year) at UNSW Sydney.

Aug.--Dec. 2018. Lecturer for the class Complex Analysis (2nd year) at UNSW Sydney.

Jan.--May 2016. Instructor for the class Linear Algebra (2nd year) at Vanderbilt University, USA.

Aug.--Dec. 2015. Instructor for the class Linear Algebra with Applications (2nd year) at Vanderbilt University, USA.

Jan.--May 2015. Instructor for the class Introduction to Analysis (3rd year) at Vanderbilt University, USA.

Aug.--Dec. 2014. Instructor for the class Calculus (1st year) at Vanderbilt University, USA.

Jan.--May 2014. Instructor for the class Linear Algebra (2nd year) at Vanderbilt University, USA.

Aug.--Dec. 2013. Teaching Assistant for the class Calculus (1st year) at Vanderbilt University, USA.

Feb.--June 2012. Instructor for the class Geometric Group Theory (4th year) at KU Leuven, Belgium.

December 2009. Gave a mini course on Planar Algebras, University of Orleans, France.

October 2009. Gave a mini course on constructions of MASAs with Planar Algebras, Texas A&M, USA.

Academic year 2008-2009. Employed by the group Thales in Paris as a a personal mathematical teacher for first and second year students.

Academic year 2006-2007. Agregation of mathematics (french competitive exam allowing to teach in high school).

Academic year 2006-2007. Examiner in mathematics for second year students with biology major. 

Feb.--May 2006. Assistant teacher in Mathematics in high school.

Feb. 2023--Dec. 2023. Supervisor of Daniel Dunmore for his Honours thesis entitled "From Subfactors to Richard Thompson's Groups and their Generalizations" at UNSW Sydney.

Feb. 2023--Dec. 2023. Supervisor of Jensen O'Sullivan for his Honours thesis entitled "Thompson's Group F, Jones Technology, and Knots" at UNSW Sydney.

Sept. 2022--Dec. 2022. Organising a reading course on von Neumann algebras for Simon Bohun at UNSW Sydney.

Feb. 2022--Present. Primary supervisor of Dilshan Wijesena for his Ph.D. thesis entitled "Jones' representations of R. Thompson's groups" at UNSW Sydney.  The secondary supervisor is Daniel Chan.

Feb. 2022--Present. Primary supervisor of Ryan Seelig for his Ph.D. thesis entitled "Utilising Jones' actions to study the braided Thompson group" at UNSW Sydney.  The secondary supervisor is Pinhas Grossman.

Dec. 2021-Feb. 2022. Supervisor of Daniel Dunmore for a research project entitled "C*-algebras of discrete groups" sponsored by a AMSI Vacation Research Scholarship and conducted at UNSW Sydney.

Feb. 2021--Present. Primary supervisorof Christian de Nicola Larsen for his Ph.D. thesis entitled "Mathematical modelling of field theories" at UNSW Sydney.  The secondary supervisors are Ian Doust and Pinhas Grossman.

Feb. 2021--Dec. 2021. Supervisor of Dilshan Wijesena for his Honours thesis entitled "Irreducible Jones' representations of R. Thompson's groups" at UNSW Sydney.

Feb. 2019--April 2023.  Secondary supervisor of Allan Stoneham for his Ph.D. thesis entitled "Integration theory for AC(sigma) operators" at UNSW Sydney. The primary supervisor is Ian Doust.

June 2020--May 2021. Supervisor of Ryan Seelig for his Honours thesis  entitled "From a quantum group to a diagram algebra, and back" at UNSW Sydney.

Feb. 2020--Dec. 2020. Supervisor of  Christian de Nicola Larsen for his Honours thesis entitled "Gelfand duality and its applications" at UNSW Sydney.

Aug. 2015--May. 2016. Supervisor of Corey Lockridge for an undergraduate research project on Measure Theory at Vanderbilt University, USA.

Jan.--May 2015. Ran a weekly meeting with Vaughan Jones' Ph.D. students at Vanderbilt University.

Feb.--June 2012. Supervised four thesis on Geometric Group Theory done by seven students (working in pair) at KU Leuven, Belgium.

May 2023. Reviewer for the Honours thesis of Victor Zhang entitled "Diagrammatic categories in representation theory" conducted under the supervision of Anna Romanov and myself at UNSW Sydney.

Nov. 2022. Reviewer for the Honours thesis of Joel Springer entitled "Cech cohomology of a topological space: construction, properties and examples" conducted under the supervision of Mircea Voineagu at UNSW Sydney.

Nov. 2021. Reviewer for the Honours thesis of Madhav Padmakumar entitled "Measuring and computing optimal generators for homology of groups" conducted under the supervision of Mircea Voineagu at UNSW Sydney.

Nov. 2021. Reviewer for the Honours thesis of Dilshan Wijesena entitled "A new continuous class of irreducible representations of R. Thompson's groups using Jones' machinery" conducted under my supervision at UNSW Sydney.

Aug. 2021. Reviewer for the Honours thesis of Jiayi Li entitled "Polynomial link invariants from Markov traces on braid group representations" conducted under the supervision of Pinhas Grossman at UNSW Sydney.

May 2021. Reviewer for the Honours thesis of Ryan Seelig entitled "From a quantum group to a diagram algebra, and back" conducted under my supervision at UNSW Sydney.

March 2021. Reviewer for the Ph.D. thesis of Sruthymurali entitled "Planar algebras, quantum information theory and subfactors" conducted under the supervision of Vijay  Kodiyalam at the Institute of Mathematical Sciences, Chennai, India.

Nov. 2020. Reviewer for the Honours thesis of Oliver Bruhl entitled "Ultrapower techniques in classical and noncommutative probability" conducted under the supervision of Fedor Sukochev at UNSW Sydney.

Nov. 2020. Reviewer for the Honours thesis of Christian de Nicola Larsen entitled "Gelfand duality and its applications" conducted under my supervision at UNSW Sydney.

Nov. 2019. Reviewer for the Honour thesis of Harrison Denman entitled "The fixed point property for nonexpansive mapping in Banach spaces" conducted under supervision of Ian Doust at UNSW Sydney.

Nov. 2018. Reviewer for the Honour thesis of Gaving Robertson entitled "Numerical invariants of Banach and metric spaces" conducted under the supervision of Ian Doust at UNSW Sydney.