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.

** 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)

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)

< href="316(2014).pdf">Mathematics 316 Syllabus (Fall 2014)

< href="316a12014.pdf"> Homework #1 (Due: September 30, 2014)

< href="3162014hw1sol.pdf"> Homework #1 solutions

< href="316a22014.pdf"> Homework #2 (Due: October 23, 2014)

< href="a2.pdf"> Homework #2 solutions

< href="316hw32014.pdf"> Homework #3 (Due: November 18, 2014)

< href="a3.pdf"> Homework #3 solutions

< href="316hw42014.pdf"> Homework #4 (not to be handed in)

< href="a4.pdf"> Homework #4 solutions

Mathematics 566 Syllabus (Winter 2014)

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

Mathematics 566 Topics (Due: April 23, 2014)

< href="316(2013).pdf">Mathematics 316 Syllabus (Fall 2013)

< href="math316a12013.pdf">Homework #1 (Due in class: September 30)

< href="hw1solutions.pdf">Homework #1 Solutions

< href="316a2(2013).pdf">Homework #2 (Due in class: October 23)

< href="316hw2solutions.pdf">Homework #2 Solutions

< href="316a3.pdf">Homework #3 (Due in class: November 18)

< href="316hw3solutions.pdf">Homework #3 Solutions

< href="316a4.pdf">Homework #4 (Due in class: December 2)

< href="316hw4solutions.pdf">Homework #4 Solutions

Mathematics 366 Syllabus (Fall 2013)

Homework #1 (Due in class: September 30)

Homework #2 (Due in class: October 23)

Homework #3 (Due in class: November 18)

Homework #4 (Due in class: December 2)

Mathematics 355 Syllabus (Winter 2013)

Homework #1 (Due in class: January 30)

Homework #2 (Due in class: February 18)

Homework #3 (Due in class: March 21)

Homework #4 (Due in class: April 15)

< href="math316.pdf">Mathematics 316 Syllabus (Fall 2012)

< href="316a1-2012.pdf">Homework #1 (Due in class: September 27)

< 316solutionshw1.pdf>Homework #1 Solutions

< href="math316a2.pdf">Homework #2 (Due in class: October 16)

< HW2.pdf>Homework #2 Solutions

< href="316a3.pdf">Homework #3 (Due in class: November 20)

< solutionshw3.pdf>Homework #3 Solutions

Mathematics 366 Syllabus (Fall 2012)

Homework #1 (Due in class: September 27)

Homework #2 (Due in class: October 16)

Homework #3 (Due in class: November 20)

Homework #4 (Due in class: December 4)

Mathematics 381 Syllabus (Fall 2011)

Homework #1 (Due in class: September 28)

Homework #2 (Due in class: October 19)

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

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

Homework #4-5 Solutions (part1)

Homework #4-5 Solutions (part2)

Homework #4-5 Solutions (part3)