Sergei Yakovenko's blog: on Math and Teaching

Sunday, March 25, 2018

Analysis on Manifolds – old-new course announcement

Filed under: Calculus on manifolds course — Sergei Yakovenko @ 5:02


Yielding to the popular demand, the course Analysis on Manifolds will be repeated in the spring semester of this year. It will be largely the same course as was taught the past year, although some changes will be inevitable. You are welcome to bookmark the web page (bear in mind that this is a weblog, so the most recent entries will appear first).

The set of lecture notes from the past year is available here, so that you may have an idea of what expects you. I will edit these notes so that towards the end of the semester you will have (hopefully) a better set.

I will post (mainly for my own records) the brief syllabus of things covered in each lecture. This might be helpful to those who missed a class or two and want to catch up.

Every year I urge students who take this course to profit from the interactive nature of the blog: asking questions (even “stupid” questions, though there is no such thing!) stimulates the digestive tract and helps even those who keep silence.


Monday, March 7, 2016

Wonderful interview with Sir Michael Atiyah

Filed under: links — Sergei Yakovenko @ 4:48
Tags: ,

M. Atiyah

One of the most exquisite minds of our times shares his insights of how a Mathematician perceives the worlds of Mathematics and Physics.

A must read for all ages and all specializations, from students to retirees.

Tuesday, December 30, 2014

Final announcement

This is to inform the noble audience of the course that the main program of the course is completed. I will stay in Pisa for one more week (till January 8, 2015) and will be happy to discuss any subject (upon request).

Meanwhile one of the subjects discussed in this course was brought to a pre-final form: the manuscript

  1. Shira Tanny, Sergei Yakovenko, On local Weyl equivalence of higher order Fucshian equations, arXiv:1412.7830,

was posted on arXiv and submitted to the Arnold Mathematical Journal, a new venue for publications molded in the spirit of  the late V. I. Arnol’d and his seminar.

Any criticism will be most appreciated. Congratulations modestly accepted.

Tanti auguri, carissimi! Buon anno, happy New Year, с наступающим Новым Годом, שנה (אזרחית) טובח, bonne année!

Monday, November 3, 2014

Analytic theory of linear differential equations: a new course

Filed under: Analytic ODE course,research announcement,schedule — Sergei Yakovenko @ 5:56


This post is to announce the midi-course (about 24 hours) that will be given in November-December in Universita di Pisa. The weekly timetable is as follows,

Lunedi 11-13 Aula 1
Venerdi 9-11 Aula 1.

The course will be based (among other) on several principal sources, all available online. Here are the links:

  1. Yu. Ilyashenko, S. Yakovenko, Lectures on analytic differential equations, MR2085816 (2005f:34255). Mainly Chapter III and Section 26.
  2. D. Novikov, S. Yakovenko, Lectures on meromorphic flat connections, In: Normal forms, bifurcations and finiteness problems in differential equations, 387–430, NATO Sci. Ser. II Math. Phys. Chem., 137, Kluwer Acad. Publ., Dordrecht, 2004 (Preprint math.CA/0212334).
  3. Yakovenko, S. Quantitative theory of ordinary differential equations and tangential Hilbert 16th problem, Preprint math.DS/0104140 (2001). On finiteness in differential equations and Diophantine geometry, CRM Monogr. Ser., vol. 24, Amer. Math. Soc., Providence, RI, 2005, pp. 41–109, MR2180125 (2006g:34062)

More specialized references will be added in the appropriate posts.

Feel free to leave your questions and comments

Thursday, October 24, 2013

שלום כיתה א

Filed under: lecture,Rothschild course "Analysis for high school teachers" — Sergei Yakovenko @ 3:54

The New Academic Year announcement

In the new academic year 2013/4 (Anno 5774, שנה התשע”ד) I will again teach the course “Analysis for high school teachers”. As before, the primary goal of the course is to give the explanation of the fundamental mathematical concepts that often remain concealed behind drilling the “calculus skills”.

This blog will serve a platform for regular upload of the course material (lecture notes, problems for self-control, discussion of relevant issues. The students taking the course (as well as the entire Internet community accidentally hitting these pages) is invited to the interactive discussions. If you have questions, post them. If you have answers to the posted questions, post them even more. If you spotted an error or an obscure place in the lecture notes, – notify me and other people here. Feel free to write in whatever language you feel more comfortable with, – most of the readers are multilingual, though the (simplified) English seems to be the least common denominator.

The previous release(s) of this course are available on this blog under the same tag. The new version will be slightly changed in search of higher clarity, yet you can compare and use whatever like more. Unlike the Scripture, mathematical exposition is by no means canonically endorsed.

Besides these notes, you are invited to read anything you like on the subject. One of the books which I absolutely loved when I was a high school student, is available here (warning: 21 Mb in pdf format, a semi-legal scan strictly for your personal pleasure 😉

I Look forward for your active participation!

Saturday, November 10, 2007


Filed under: research announcement — Sergei Yakovenko @ 10:45

A friendly “project” on complex algebraic geometry will be launched by Dmitry Novikov. Meetings are on Sundays, 14:00-16:00 in Room 261.  The first meeting is November 11, 2007.

 It is highly recommended for all involved in the “project” on Analytic and Geometric Theory of Differential Equations.

For disambiguation see the Disclaimer at the top of this blog.

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