Department of Pure Mathematics
University of Waterloo
Office: MC 5322
Phone: 519-888-4567 ext. 35559
uwaterloo dot ca
Curriculum Vitae (PDF)
Teaching -- Fall 2017
PMath 351 -- Real Analysis
Teaching -- Winter 2018
PMath 833 (950) -- Harmonic Analysis
Mathematics Genealogy Project. Mathematically, I'm apparently a
descendant of Gauss, Euler, Fourier and Hilbert.
Aasaimani Thamizhazhagan, 2016/09-
Bahaa Khaddaj, 2017/05-
2005/09-2010/08, Harmonic Analysis of Rajchman Algebras,
Assistant Professor at University of Delaware
Laura Marti Perez, 2006/09-2011/12, The Fourier Algebra of a Locally Trivial Groupoid, teaching high-school in Denmark
Elcim Elgun, 2007/09-2013/01,
The Eberlein Compactification of Locally Compact Groups, seeking academic position in Turkey
Matthew Wiersma, 2012/09-2016/05, Max Wyman Assistant Professor at
University of Alberta
Aaron Tikuisis, 2006/09-2007/08, Amenability for the Fourier algebra,
G. Elliot, University of Toronto; then post-doc at University of Muenster,
now post-doc at University of Aberdeen
Micheal Brannan, 2006/09-2008/08, Operator spaces and ideals in Fourier
algebras, PhD with
J. Mingo and
R. Spiecher, Queen's University; now Assistant Professor at Texas A&M University
Cameron Zwarich, 2006/09-2008/08, von Neumann algebras for
abstract harmonic analysis, Apple Computer, Cuppertino
Matthew Wiersma, 2011/09-2012/08, Approximation properties for
group C*-algebras, PhD student, Waterloo
Cameron Williams, 2013/09-2014/08, harmonic analysis and induced representations, PhD student at U. of Houston
Serina Camungol, 2015/09-2016/08, fixed point theorems, now PhD student at University of Alberta
Mitchel Haselhurst, 2015/09-2016/08, second duals of Banach algebras
Bahaa Khaddaj, 2016/01-2017/04, C*-slagebras of totally disconnected groups
2007/01-2008/12, Amenability properties of Banach algebras of harmonic
Hun Hee Lee,
2007/09-2009/04, Operator spaces and Banach algebras of harmonic
Pekka Salmi, 2010/09-2011/08, Locally compact quantum groups
Yin-Hei (Michael) Cheng, 2011/01-2011/08, Abstract harmonic analysis
Mahmood Alaghmandan, 2014/01-2015/08, Harmonic analysis related to hypergroups
Mahya Ghandehari, 2014/01-2015/08, Harmonic analysis
Matthew Mazowita, 2014/01-2015/08, Analysis of Beurling algebras
Newton couldn't count?
"The popular idea of mathematics is that it is largely concerned with
calculations," writes Karl Sabbagh in The Riemann Hypothesis (Farrar, Straus
and Giroux). "What many people don't realize -- and mathematicians at parties
have given up correcting them -- is that mathematicians are often no better
calculators, and sometimes worse, than the average non-mathematician. . . .
Even the giants of mathematics suffer from this minor disability: 'Sir Isaac
Newton,' said one observer, 'though so deep in algebra and fluxions, could
not readily make up a common account; and, when he was Master of the Mint,
used to get somebody else else to make up his accounts for him.' "
Source: The Chronicle of Higher Education
I am involved in an evil enterprise.
"The good Christian should beware of mathematicians and all those who make
empty prophecies. The danger already exists that mathematicians have made a
covenant with the devil to darken the spirit and confine man in the bonds of
-- St. Augustine
(I've been advised that this is a common misquote. One should really interpret "mathematician" here as "numerologist", or perhaps, general "charlatan diviner". Take away points: (1) do not assign value to mathematical reasoning beyond itself; (2) don't read horoscopes.)
Don't add this to your Teaching Statement.
"Our brains respond better to difficulty than we imagine," writes Ian Leslie in Intelligent Life magazine. "In schools, teachers and pupils alike often assume that if a concept has been easy to learn, then the lesson has been successful. But numerous studies have now found that when classroom material is made harder to absorb, pupils retain more of it over the long term, and understand it on a deeper level. Robert Bjork, of the University of California, coined the phrase 'desirable difficulties' to describe the counterintuitive notion that learning should be made harder by, for instance, spacing sessions farther apart so that students have to make more effort to recall what they learned last time. Psychologists at Princeton found that students remembered reading material better when it was printed in an ugly font."
Yay for group-think.
"Plenty of research suggests having a strong, supportive social network has a positive impact on one's health and well-being," says Pacific Standard magazine. "But with an election approaching, it's worth noting that this sort of interconnectedness apparently has a dark side. It seems to make us less-sophisticated thinkers, at least in the realm of politics and policy. That's the conclusion of a study recently published in the journal Political Psychology. [Researchers] conclude close-knit networks of friends and acquaintances apparently create 'social bubbles,' which can limit 'how one communicates with others and reasons about politics.' The result, they add, is 'low-quality thinking' about matters of great importance."