Teaching

Graduate & Master's lecture courses

(Bristol, Oxford, La Réunion, LMS/EPSRC, UFBa)

Advanced Set Theory Axiomatic Set Theory Cardinal Arithmetic Combinatorial Functional Analysis Géométrie Différentielle (in French) Geometric Stability Theory Infinitary Combinatorics Recursion Theory Teoria dos Conjuntos (in Portuguese)

Undergraduate lecture courses and teaching

(Bristol, Edinburgh, Glasgow, KCL, Manchester, Oxford, UCL)







3rd/4th year lecture courses
	• Axiomatic Set Theory • Computational Complexity • Combinatorial Optimisation
3rd/4th year small group or tutorial teaching
	• Algebraic Number Theory • Combinatorics • Elementary Number Theory • Galois Theory • Fourier Analysis • Maple for Honours Algebra • Model Theory
2nd year lecture courses
	• Analysis of Several Variables • Linear and Multilinear Algebra





2nd year small group or tutorial teaching
	• Algebra 2 • Applied Analytic Methods • Complex Analysis • Computability • Foundations of Pure Mathematics • Fourier Analysis • Fundamentals of Pure Mathematics • Logic • Measure Theory • Methods of Complex Variables • Multivariable Calculus • Probability with Applications • Set Theory • Statistics • Topics In Linear Algebra And Calculus • Topology





1st year lecture courses
	• Calculus
1st year small group or tutorial teaching
	• Algebra • Analysis • Analysis I • Analytic and Numerical Methods • Calculus • Calculus and its Applications • Differential and Integral Calculus • Differential Equations • Foundations & Proofs • Introduction to Group Theory • Linear Algebra • Introduction to Linear Algebra • Linear Algebra and Geometry I • Linear Algebra and Geometry II • Linear Methods • Mathematics for Scientists and Engineers 1a • Mathematics for Scientists and Engineers 1b • Probability • Proofs and Problem Solving • Statistics





Preliminary & auxiliary lecture courses
	• Calculus I • Pre-Calculus
Preliminary & auxiliary tutorial teaching
	• Elementary Mathematics • Introduction to Pure Mathematics • Mathematical Structures • Numbers and Functions









Research student supervision/examination





MSc Examining Committees:





Corey Switzer (Paris VII, July 2016)

Dimi Rangel (UFBa, 2012)

João Paulo Cirineu de Jesus (UFBa, 2010)

Ian Harris (Bristol,1996)

G. Piper (Bristol,1996, also supervised)










Computing teaching materials developed at Edinburgh







3^rd year Symbolic Algebra 'Skills' worksheets in python (jupyter and simpy)










Online/distance teaching





First year real-time tutorial/distance learning support, using Skype with multiple video cameras.

Participation in various Zoom, Teams, jitsi, etc., meetings