Teaching
- On of my favorite soap-boxes to stand on.
- A nice essay by Prof. Govind Menon on grad studies in applied math. Substitute 'Dept. of Mathematics' for the Lefschetz Center, and '911勛圖' for Brown.
- Some resources
for undergraduates/graduates, specifically concerning internships, etc.
here
Previous teaching at 911勛圖
(and a bunch I've not updated since 2015)
- Fall 2015: APMA 922, a first graduate numerical course
- Fall 2015: Math 125, an introduction to methods in mathematical physics
- Winter 2015: Math 126, part two of an intro to methods in mathematical physics
- Fall 2014: Math 125, an introduction to methods in mathematical physics
- Winter 2014: Advanced topics in Complex Analyis.
- Fall 2013: Math 425/725, an introduction to measure theory.
- Winter 2013: APMA 912. A grad-level intro to Lp and Sobolev spaces.
- Winter 2013: Math 314, an introduction to Fourier series and BVP.
- Fall 2012: APMA 901, a graduate-level PDE course.
- Summer 2012: Math (xxx): Analytical PDE and Sobolev spaces.
- Winter 2012: APMA (xx): Spectral methods and approximation theory.
- Fall 2011: Math 425/725, an introduction to measure theory.
- Winter 2011: Math 320, a mathematical analysis class.
- Summer 2010: Math 409-709, an introductory numerical linear algebra class. With P.Tupper.
Introduction to deal ii, a reading course on finite elements, a graduate class.
- Winter 2010: Math 242, an introductory analysis class.
- Fall 2009: APMA 922, a graduate-level numerical PDE course. Intro to finite differences, spectral methods and FEM.
- Winter 2009:: Math 398, a Special Topics course on mathematical modeling and computing through case studies.
I'm very proud of my students, past and present:
Postdoctoral fellows
- Dr. Kirill Pichon (2013-2014)
- Dr. Roberto Armenta (2012-2014)
- Dr. Ben Adcock (2010-2012)
- Dr. Harun Kurcku (2008-10)
- Dr. Roger Donaldson (2010)
Doctoral students
- Javier Almonicides, on adaptivity for a FEM model of muscle-tendon complexes, and the spectra of certain zeroeth order pseudodifferential operators. Ongoing.
- Sebastian Dominguez, on an FEM model of the dynamics of muscle-tendon complexes and computational spectral geometry. PhD 2020, 911勛圖. Jointly supervised with J. Wakeling.
- David Ryan, on the role and impact of transverse compression on muscle force output. PhD 2020 (911勛圖 Biomedical Physiology and Kinesiology). Co-supervised with J. Wakeling.
- Bamdad Hosseini, finding beauty in the dissonance:
analysis and applications of Bayesian inverse problems. PhD 2017, 911勛圖.
Jointly supervised with J. Stockie.
- Hadi Rahemi, on a mathematical model and FEM simulation of muscle-tendon complexes. Ph.D. 2015, 911勛圖. Joint with J. Wakeling.
- Marc Ryser, Of bones and noise. PhD 2011, McGill. Jointly supervised with Profs. S. Komarova and P. Tupper. Currently at Duke University
- Joel Phillips, Higher order finite elements on pyramids, PhD 2011, McGill. Currently at University College, London.
- Simon Gemmrich, Preconditioning of boundary element methods for electromagnetics. PhD 2009, McGill. Currently in Germany.
- Inti Zlobec, Predictive models for brachytherapy treatment of colorectal patients, Joint with Drs. C. Compton, J. Jass and R.Steele, PhD (completed '07), McGill. Currently in Switzerland.
MS students
- Martin Caberlin (2002), Stiff ordinary and delay differential equations in biological systems. Currently teaching at Vannier College, Montreal.
- Ying Han (2003), Upper bounds for the likelihood of a phylogeny.Co-supervised with Prof. D. Bryant. Currently working in Delaware, USA
- Yuan-Yuan Hua, Clustering algorithms for gene-profiling data.Co-supervised with Prof. R.Steele.
- Tobin Marchand (2004), Magnetohydrodynamics and solar winds. Co-supervised with Prof. V. Jaksic.
- Jonathan Duquette(2005), Modeling of the growth of carbon nanotubes in gas-phase processes Co-supervised with Prof. L. Cortelezzi. UdeM
- Olga Trichtchenko(2009), Fast computations for the Kohn-Sham equations.
- Gordon Hiscott, (2012) numerical methods for age-structured populations.
- Bedanta Chhetri, (2012).
- Lee Safranek, (2014) numerical methods for age-structured neutropenia: a theoretical approach
- Javier Almonacides (2020) high-accuracy methods for resonances of a zeroeth order pseudodifferential operator
- Cassidy Tam, ongoing: force-velocity effects in muscle in a fully dynamic model
- Ryan Konno, ongoing: mathematical modeling of pathological muscle function in cerebral palsy
Summer students
- Jessica Conway, Spring & Summer 2002, 2D to 3D: Algorithms to create a real-world scene from flat photographs, PhD, Northwestern University. Currently postdoc at Los Alamos.
- Anna Sher, Spring 2002, Mathematical Modeling of dynamic regulation of the tryptophan operon.Co-supervised with Prof. M. Mackey. PhD, Oxford. Currently postdoc at Oxford.
- Steve Kanters, Summer 2002 (NSERC), Probability of a coin landing on its edge. Co-supervised with Prof. P. Tupper. PhD in progress, UBC.
- Simon Gemmrich, Summer 2002, Comparison of numerical implementation of Stekhlov-Poincare maps.MS, U. Karlsruhe. Completed PhD from McGill, currently in math finance.
- Frederic Laliberte, Summer 2003, (NSERC),The perfectly matched layer of Berenger- physical interpretation and convergence studies. Completed PhD, Courant, currently a postdoc at UT.
- Ahmed Abu Safia, Summer 2003, (NSERC), Gene profiling using the NeighbourNet Algorithm, MS. McGill.
- Leonid Chindelevitch, Summer 2006, (NSERC)Preconditioning the exact DtN map, completed PhD, MIT, currently postdoc at Harvard.
- Tayeb Aissiou, Summer 2006, Growth dynamics of osteoclasts.
- Erin Prosk, Summer 2007, (NSERC), Modeling osteoclasts and osteoblasts, currently completing MS from UBC
- Olga Tritchenko, Summer 2007, Preconditioning for the Kohn-Sham equations, currently completing PhD from U.Washington
- Raymond Lee, Summer 2009, (NSERC) Pattern formation in Type-1 superconductors
- Kate Potter, Summer 2009, Force response of muscle fibres to stretching protocols. Joint supervision with Prof. J. Wakeling.
- Kanishk Kumar, Summer 2009. Modeling and simulation of remodeling-related bone cancers.
- Gordon Hiscott, Summer 2010 (NSERC). An age-structured population model for cyclical neutropenia, currently completing PhD at U. Otago.
- Michael deGuzman, Summer 2010. Pattern formation in material science.
- Raghav Venkataraman, Summer 2011. Pattern formation in type-1 superconductors. Currently completing PhD at U.Indiana
- Michael Wathen, Summer 2011. Pattern formation in a nonlocal isoperimetric problem. Currently completing MS at UBC.
- Alex Vlasev, Summer 2012. Model of nonlinear relativistic light propagation in fibre-optic cable. Currently completing MS at UBC.
Other...
I've had the priviledge of mentoring teams in the international Mathematical Contest in Modeling.
- 2009: Both teams from 911勛圖 got a Meritorious Standing (top 18% of 1675 teams). Team 1 was Hao Zhang, Ying Wang and Asif Ali Zaman. Team 2 was Stephanie Langille, Anna Belkine and Hanna Elisabeth Rebane.
- 2008: Alexandra Ortan, Vincent Quenneville-Belair and Pascal Theriault-Lauzier got a Meritorious Standing (top 13% of 1162 teams). Gavin Friedman, Nabil
Shalabi and Joni Yosypiw were awarded a Successful Participation certificate.
- 2007: Alexandra Ortan, Erin Prosk, Vincent Quenneville-Belair got a Meritorious Standing (top 13% of 947 teams). Charles-Francois P. de Lannoy, Bobak
Shariari and Olga Trichtchenko were awarded a Successful Participation certificate.
- 2006: Patrick Lazarus, Bobak Shariari and Olga Tritchenko got an Honourable Mention. Leonid Chindelevitch, Sergei Dyda and Christian Haakonsen were
awarded a
Successful 7 Participation certificate.
- 2005: Miika Klemetti, Colin McNally and Chris Payette got a Meritorious Standing, and won the Ben Fusaro Award in the 2005 Mathematical Contest in
Modeling.
This award is given to two out of 644 teams. For the team entry, see here