John Toth
Professor of Mathematics
...

Department of Mathematics and Statistics
McGill University
805 Sherbrooke Street West
Montreal, QC, H3A 2K6
Canada
(514) 398 3847
jtoth@math.mcgill.ca
Office hours: Tuesdays from 1:00pm to 2:00pm, or by appointment.

I am a Professor in the Department of Mathematics and Statistics at McGill University in Montreal, Canada.

My research interests are in semiclassical microlocal analysis with applications to spectral asymptotics and quantum chaos.

Curriculum vitae

Recent publications


Recent Talks: Eigenfunctions (Northwestern(2010))

Eigenfunction Restriction Bounds (ESI-Vienna(2012))

Nodal Intersection Bounds (Fields-Toronto(2012))

Bounds for Neumann data (Northwesterm(2014))


Teaching:

Mathematics 264 Syllabus (Winter 2015)


ANNOUNCEMENTS: 1) Math 264 tutorial has been permanently moved from the 1:30 - 2:30 to the 5:30-6:30 slot at FDA 6B on Mondays.

2) One of the TA's will be available in Burnside Hall 911 from 10am-noon on Thursday, February 12 to answer questions.



HOMEWORK: All homework assignments are to be completed using WebWork (http://msr02.math.mcgill.ca/webwork2/MATH264_WINTER2015/).

Homework #1 (Closed)

Homework #2 (Closed)

Homework #3 (Closed)

Homework #4 (Closed)

Homework #5 (now open) (Closes April 14, 2015)

Homework #6 (now open) (Closes April 14, 2015)


Midterm Review Problems


Midterm Solutions


Final Review Problems





Mathematics 595 (Winter 2015)

This course is an introduction to spectral asymptotics. My aim to cover enough microlocal analysis to prove the Avakumovic-Levitan-Hormander theorem for the spectral counting function, the Quantum Ergodicity Theorem of Colin de Verdiere, Schinrelmann, Zelditch and some more recent applications to eigenfunction asymptotics.

In addition to Hormander Vols. I and III and Grigis-Sjostrand, there are the following very nice survey articles:

Spectral Geometry (Y. Canzani)

Eigenfunctions (S. Zelditch)


Mathematics 316 Syllabus (Fall 2014)

Homework #1 (Due: September 30, 2014)

Homework #1 solutions

Homework #2 (Due: October 23, 2014)

Homework #2 solutions

Homework #3 (Due: November 18, 2014)

Homework #3 solutions

Homework #4 (not to be handed in)

Homework #4 solutions


Mathematics 566 Syllabus (Winter 2014)

Mathematics 566 Homework Problems (Due: April 23, 2014)

Mathematics 566 Topics (Due: April 23, 2014)


Mathematics 316 Syllabus (Fall 2013)

Homework #1 (Due in class: September 30)

Homework #1 Solutions

Homework #2 (Due in class: October 23)

Homework #2 Solutions

Homework #3 (Due in class: November 18)

Homework #3 Solutions

Homework #4 (Due in class: December 2)

Homework #4 Solutions


Mathematics 366 Syllabus (Fall 2013)

Homework #1 (Due in class: September 30)

Homework #1 Solutions

Homework #2 (Due in class: October 23)

Homework #2 Solutions

Homework #3 (Due in class: November 18)

Homework #3 Solutions

Homework #4 (Due in class: December 2)

Homework #4 Solutions


Mathematics 355 Syllabus (Winter 2013)

Homework #1 (Due in class: January 30)

Homework #1 Solutions

Homework #2 (Due in class: February 18)

Homework #2 Solutions

Homework #3 (Due in class: March 21)

Homework #3 Solutions

Homework #4 (Due in class: April 15)

Homework #4 Solutions


Mathematics 316 Syllabus (Fall 2012)

Homework #1 (Due in class: September 27)

Homework #1 Solutions

Homework #2 (Due in class: October 16)

Homework #2 Solutions

Homework #3 (Due in class: November 20)

Homework #3 Solutions


Mathematics 366 Syllabus (Fall 2012)

Homework #1 (Due in class: September 27)

Homework #1 Solutions

Homework #2 (Due in class: October 16)

Homework #2 Solutions

Homework #3 (Due in class: November 20)

Homework #3 Solutions

Homework #4 (Due in class: December 4)

SAMPLE PROBLEMS (Please note: there is a typo in question 8; the numerator should be $\sin^2 (2x) + x \cos (2x)$).


Mathematics 381 Syllabus (Fall 2011)

Homework #1 (Due in class: September 28)

Homework #1 Solutions

Homework #2 (Due in class: October 19)

Homework #2 Solutions

Sample midterm problems

Homework #3 (Due in class: November 21) NOTE: On pg. 275, please do #10 (a) only.

Homework #3 Solutions

Homeworks #4 and #5 (Due in class: December 5)

Homework #4-5 Solutions (part1)

Homework #4-5 Solutions (part2)

Homework #4-5 Solutions (part3)