My Talk at Geometry & Dynamics Seminar (Tel-Aviv University, May 27, 2020)

Heavy atoms and molecules: Thomas-Fermi and Scott approximations

The purpose of this talk is to discuss the rigorous mathematical results:

  • Thomas-Fermi approximation to the ground state energy, excessive
    positive and negative charges, and ionization energy (old results).
  • Thomas-Fermi and Scott approximations to the ground state density (new results).


Student Teaching Evaluations

Very interesting article from MAA:

These evaluations positively correlate with the student’s achievements in the current course, but negatively correlate with student’s achievements in the follow-on related courses.

Students of less experienced instructors who do not possess terminal degrees perform better in the contemporaneous course being taught, but perform worse in the follow-on related courses.

My Research Monograph @ Springer-Verlag

Microlocal Analysis, Sharp Spectral Asymptotics and Applications

Volume I. Semiclassical Microlocal Analysis and Local and Microlocal Semiclassical Asymptotics

Volume II. Functional Methods and Eigenvalue Asymptotics

Volume III. Magnetic Schrödinger Operator 1

Volume IV. Magnetic Schrödinger Operator 2

Volume V. Applications to Quantum Theory and Miscellaneous Problems

MAT244 @Fall 2019 Enrolment Issues

Please note

  • Instructors cannot help you to get into class. At the moment nobody can: all Lecture Sections are full. Furthermore, LEC 0101, LEC 0201 and LEC 5101 are at their rooms capacities.
  • Moreover, waiting lists are in total around 40 (as of August 1).
  • LEC 5201 is limited by 120 and it’s room (LM 162) capacity is 154; so it may happen that this section will be expanded to its room capacity (decision is with the Dean’s Office).
  • All other sections could be expanded only if moved to larger rooms. For day sections (LEC 0101 and LEC 0201) I consider this as highly improbable.
  • For LEC 5101 I consider this as rather improbable, but let us wait to see.
  • Will be the fifth lecture section created? I consider this as highly improbable.
  • Basically you chances are mainly with someone dropping from the class. There is an important date (September 18) which is a deadline to drop the class without financial penalty and the deadline to use ACORN to get into class, choose Lecture and Tutorial section.
  • If you really want to take this class now, I suggest not to be picky and chose whatever is available. Chances are that later (it is difficult to say when, but after September 18 for sure) I will be able to help you to adjust your sections.

Class Coordinator
(Victor Ivrii)

Prerequisites and Corequisites

Recently I have taught three courses:

MAT244H1 – Introduction to Ordinary Differential Equations.

  • Prerequisite:
    • Calculus I: (MAT135H1 & MAT136H1)/ MAT137Y1 or Analysis II (MAT157Y1)
    • Linear Algebra I: MAT223H1 or Algebra I: MAT240H1
  • Corequisite:
    • Calculus II (MAT235Y1/​ MAT237Y1) or Analysis II​ MAT257Y1

I believe that

  • MAT135/MAT136 and MAT235Y1 are too weak and should be quashed and
  • Linear Algebra II: MAT244H1 or Algebra II: MAT247H1 should be Recommended.

MAT334H1 – Complex variables

  • Prerequisite:
    • Calculus II: MAT235Y1/​ MAT237Y1/​ or /Analysis II: MAT257Y1
    • Linear Algebra I: MAT223H1 or Algebra I:​ MAT240H1

I strongly believe that

  • MAT235 is too weak and should be quashed, while
  • Linear Algebra I/ Algebra I is not needed.

APM346H1 – Partial Differential Equations

  • Prerequisite:
  • Calculus II: MAT235Y1/​ MAT237Y1 or Analysis II: MAT257Y1,
  • Ordinary Differential Equations: MAT244H1/​ MAT267H1

I very strongly believe that

  • MAT235 is too weak and should be quashed, and
  • Linear Algebra II: MAT244H1 or Algebra II: MAT247H1 should be added as a prerequisite, and
  • Complex Variables: MAT334H1 or Complex Analysis I: MAT354H1 should be added as a corequisite.

I also very strongly believe that MAT334 and APM346 are excessive for economists etc and should be replaced by a single one semester class

Elements of the Complex Variables an d Partial Differential Equations

Spectral Methods in Mathematical Physics

Programme “Spectral Methods in Mathematical Physics”

14 January—26 April 2019, Mittag Leffler Institute, Djursholm, Sweden

(I participate February 15—24)

My talk: Complete Spectral Asymptotics for Periodic and Almost Periodic Perturbations of Constant Coefficients Operators and Bethe-Sommerfeld Conjecture in Semiclassical Settings, February 19, 2019

Crowdmark: using and abusing. III. Misc

Extra pages

If multiproblem Test has Extra pages, they belong to the last Question in the Test. It creates a lot of problems when a student uses them for any other Question. Solution: place on these pages “fake questions”, empty and worth 0. Then they will be “in the public use”

Even better: divide each page in half, and place on each the fake questions. The last half-page may be reserved for the supervisor comments.

Clone/Edit evaluation

Fasilitator (Instructor) can clone evaluation made by Grader (TA) and then edit it as his/her own (thus appropriate them). It allows the Instructor to add/edit comments and marking signs without disabling comments made by TA.