422

It can be difficult to learn mathematics on your own from textbooks, and I often wish universities videotaped their mathematics courses and distributed them for free online. Fortunately, some universities do that (albeit to a very limited extent), and I hope we can compile here a list of all the mathematics courses one can view in their entirety online.

Please only post videos of entire courses; that is, a speaker giving one lecture introducing a subject to the audience should be off-limits, but a sequence of, say, 30 hour-long videos, each of which is a lecture delivered in a class would be very much on-topic.

alex
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    Some list can be fetched from the ancient post here:http://mathoverflow.net/questions/1714/best-online-math-videos – Unknown Feb 05 '11 at 19:00
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    +100 if I could. I always wanted to have them in summers. – Unknown Feb 05 '11 at 23:11
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    I'm voting to close this question as it is just a request for collating information that could be found and hosted elsewhere – Yemon Choi Feb 13 '19 at 20:46
  • I add as comment a collection of 19 videos for the course Introduction to Loop Quantum Gravity by professor Carlo Rovelli, it's from the official YouTube chanell Quantum Gravity at CPT Marseille. I don't know these videos of Physics, but I've read several scientific dissemination books about loop quantum gravity, and this is a topic with very interesting mathematics. I hope don't bother with my comment, many thanks. – user142929 Dec 30 '22 at 18:14

91 Answers91

69

Ted Chinburg has videos of his lectures for what is going on a 2 year course in algebraic number theory online( direct links to videos: semester 1, semester 2, semester 3, semester 4), and from there you can also get lectures from various seminars at Penn.

Also, there's the MSRI database for all the things that go on there, they're all over the website at each program's site.

  • Thanks! I edit your post to include direct link to the video list of each semester; I hope you don't mind. – alex Feb 05 '11 at 22:59
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    Chalk and board presentation... Am I alone who can't stand them anymore, no matter the merit? – Tegiri Nenashi Feb 13 '11 at 02:22
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    You probably are! I can't stand anything other than chalk and board! – David Fernandez-Breton May 16 '12 at 22:22
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    There are more recent videos on his homepage, but they are quite badly edited. One moment the blackboard is blank, and then all of a sudden it jumps to a board full of a completely unrelated topic! I don't know why the links to past courses have been removed... – mlbaker Aug 23 '13 at 22:54
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    Anyone know the status of these? I recently pointed a student to these, only to find all of the links were down. – Cam McLeman Jun 03 '14 at 14:20
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    @CamMcLeman I just attempted to open up the first video of semester one and it seems to be working fine now. – Alec Rhea Feb 05 '18 at 20:41
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    The links on Ted's videos no longer seem to be working in 2020. – D. Zack Garza Oct 25 '20 at 03:00
  • There is this initiative by the Government of India for students in India Swayam(https://swayam.gov.in/) that has more than 2000 courses on various subjects and these are available for free. – Mantha Sai Gopal Feb 03 '22 at 06:24
  • Thank you! Though the videos of the four-semester lectures broke down, some other courses on Prof. Ted Chinburg's website are also useful, especially the one on Iwasawa theory on 2018 Fall! – Hetong Xu Mar 31 '23 at 04:14
54

77 videos on Category theory.

Unknown
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  • what order should this stuff be watched in ? – galois Apr 22 '15 at 19:29
  • They have a link for the order on the webpage. Honestly I watched all of their videos but got sick of them pretty quickly. They aren't bad, but they aren't great to watch in one sitting either. – Chill2Macht Aug 15 '16 at 22:07
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    @William, I find their videos pretty dull and unfocused tbh – goblin GONE Dec 07 '16 at 12:35
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    They certainly are not designed to be watched in one sitting! They are 10 minute, bite-sized videos. Brent Yorgey's has a Catsters guide where he suggests an order to watch them in. (He was trying to watch two per week.) – Simon Willerton Jul 30 '18 at 13:06
52

The lecture videos of Introduction to Abstract Algebra, taught by Benedict Gross at Harvard, can be downloaded here.

air
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alex
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48

Federico Ardila's (full-semester) courses on polytopes, combinatorial commutative algebra, Coxeter groups, combinatorial Hopf algebras, matroid theory, and enumerative combinatorics. They include lecture videos and lecture notes. See http://math.sfsu.edu/federico/teaching.html

Now they are also on YouTube here: polytopes, combinatorial commutative algebra, Coxeter groups, combinatorial Hopf algebras, matroid theory, and enumerative combinatorics.

35

Here are some of my favorites :

  1. Sidney Coleman's Quantum Field Theory

  2. Shiraz Minwalla's String Theory

  3. MIT OCW

  4. Videos to short courses at some workshops can be found at IAS and MSRI

Amir Sagiv
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J Verma
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33

For what it's worth, my own University of Toronto 2009 course on Algebraic Knot Theory.

30

Gilbert Strang's course on Linear Algebra at MIT.

alex
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27

Algebraic topology by Prof. N J Wildberger of the School of Mathematics and Statistics, UNSW

Vicfred
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    I'd steer clear of these. Besides his nontraditional views, they're just not very good (they're elementary, not really very rigorous, and due to the above don't cover the same material as you'd see in a normal treatment of the material). – Julian Jul 21 '13 at 03:44
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    Being nontraditional isn't a bad thing. He clearly explains his approach and covers interesting, engaging content. I also don't think that an undergraduate algebraic topology course at the level he is going for (covering in fact a large chunk of material) needs to have ever thing detailed in a grad style level of rigor. Very few undergrads get most of the material he introduces. – Zach Haney Aug 09 '15 at 04:34
24

The Fourier Transform and Its Applications, taught by Brad Osgood at Stanford. Lecture notes here.

alex
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23

Miles Reid's lectures on Algebraic Geometry and Algebraic Surfaces.

alex
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pi2000
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20

At my YouTube site Insights into Mathematics. I have playlists on

Rational Trigonometry

Linear Algebra

Math Foundations

History of Mathematics

Universal Hyperbolic Geometry

Algebraic Topology (this was mentioned above)

Elementary Mathematics (K-6)

random
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17

David Gay gave a graduate course on Morse Theory at the University of Georgia this spring and the videos are compiled together in a YouTube playlist at Morse Theory: UGA 2012. Notes for his course are also online on the course website.

17

Three courses by Stephen Boyd at Stanford: Introduction to Linear Dynamical Systems, Convex Optimization I, and Convex Optimization II.

Todd Trimble
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alex
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17

Geometric Representation Theory Seminar - Fall 2007 by John Baez and James Dolan

This fall, our seminar is tackling geometric representation theory — the marvelous borderland where geometry, groupoid theory and logic merge into a single subject. The seminar is jointly run by John Baez and James Dolan. Besides explaining well-known stuff, we'll report on research we've done with Todd Trimble over the last few years.

  • Is anyone else having trouble getting audio from the videos? I'm pretty sure that the audio worked just fine for me back in '07 when I originally watched these, but now I don't hear anything. I tried streaming the videos in Chrome, in Firefox, downloading and opening with the standalone QuickTime application, as well as opening with VLC. The video shows up just fine but no audio from any of them. Running Windows 7. – Dan Kneezel Sep 14 '11 at 21:08
17

This might not fulfill the requirements of being a mathematics course, but I think that it is close enough. In 2006 the Clay Mathematics Institute hosted a Summer School in Arithmetic Geometry. The videos are great if you have a solid foundation in algebraic geometry already and wish to continue in the direction of arithmetic geometry .

Todd Trimble
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17

Coursera offers not just the videos, but entire courses: I'm currently following Probabilistic Graphical Models, which has weekly exercises and programming projects (which are marked by an autograder), plus community discussion boards and a wiki for collaborating with other students pursuing the course at the same time. Although you could presumably just create an account towards the end of term, archive off all the videos and then watch them at your leisure rather than trying to match the (reasonably demanding) schedule.

Gray Taylor
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    I took a Cryptography course there and it was good! Also, it seems like it is growing quite fast with more and more courses added. Definitely recommended to take a look. – Ng Yong Hao Jul 19 '12 at 02:29
16

Carmen Rovi's DailyMotion website has 160+ videos on the topology of manifolds in general, and surgery theory in particular, of lectures either given at the University of Edinburgh or at conferences elsewhere. Some of the lectures are courses, and some are one-offs. The November 2012 Edinburgh course of 12 lectures by Rob Kirby on high-dimensional manifold topology is a particular highlight.

14

Richard E. Borcherds has posted videos for courses on group theory, commutative algebra, classical Algebraic geometry and scheme theoretic algebraic geometry.

Link

Connecticut summer school in number theory (CTNT) has short courses on different topics, like modular forms, elliptic curves, p-adic numbers, sieve methods, etc.

Link

14

Introduction to Algorithms, taught at MIT by Charles Leiserson and Erik Demaine.

alex
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14

Graduate course on Computational Complexity and Quantum Compuation given at Cambridge University by Timothy Gowers.

13

Plenty of short courses given at workshops can be found in the Newton Institute archive at newton.cam.ac.uk.

Here is the link: http://www.newton.ac.uk/webseminars/

DamienC
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Saul Glasman
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13

Multivariable Calculus by Edward Frenkel at Berkeley:

http://www.youtube.com/view_play_list?p=07CF868151394FE3

12

MIT's Open Courseware is a very good source of this http://ocw.mit.edu/index.htm.

I personally recommend the differential equations course they have.

Daniel Parry
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11

A course on Lie groups taught by Erik van den Ban at Utrecht University.

The parent directory contains a few more bachelor level courses, but these are in Dutch.

10

A great collection of combinatorics videos

Igor Pak’s Collection of Combinatorics Videos

Gil Kalai
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10

The entire master course at ICTP:

http://www.ictp.tv/diploma/index2.php?activityid=MTH

9

Here is an ongoing series of videos covering Point-Set Topology that is planned to continue indefinitely.

9

Eleven lectures by Amritanshu Prasad on representation theory, the first two on generalities, the next five deal with representations of symmetric groups in the semisimple case, going up to the calculation of character values using Frobenius' formula. The next two deal with polynomial representations of GL(m). The last two are on the hook-length formula and Frobenius's characteristic function respectively. Assignments and notes are available on the course website for the first seven lectures.

This content forms the bulk of a book titled "Representation Theory: A Combinatorial Viewpoint" (Cambridge University Press, 2015) by the lecturer.

9

The Eilenberg Lectures at Columbia. So far, the topics have been:

  • Benedict Gross, on number theory and representation theory
  • Edward Frenkel, on Langlands program and quantum field theory
  • Sergiu Klainerman, on the mathematical theory of general relativity
David Corwin
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7

The courses of the summer school Poisson 2012 (that took place in Utrecht), as well as lectures of the conference that followed, are available online: http://www.youtube.com/user/poissonutrecht

The courses are:

DamienC
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7

There are many good quality math lectures (mostly in Russian but sometimes in English) http://www.lektorium.tv/ they are grouped by courses (for example http://www.lektorium.tv/course/?id=22876)

7

I am teaching a course on "Free Probability Theory" this term (winter term 2018/19). The videos will appear progressively here.

  • Dear Professor Roland Speicher, I started watching your Free Probability Theory's lecture recently. May I know whether there is any lecture notes for your course so that I can review after class? Thanks. – Idonknow Nov 13 '18 at 06:14
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    @Idonknow The lectures are based on my two monographs on this subject, for which you can find pdf files on my homepage (https://www.math.uni-sb.de/ag/speicher/speicher_publikationenE.html) – Roland Speicher Nov 14 '18 at 22:50
  • @Idonknow There are now also scans of my handwritten notes for the course available at https://rolandspeicher.com/lectures/fpt1819/ – Roland Speicher Feb 13 '19 at 13:54
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    Dear Professor Roland, thanks for the updates. – Idonknow Feb 13 '19 at 14:17
7

Lectures on Real Analysis, from Bilkent University (Assoc. Prof. Dr. Alexandre Gontcharov): http://video.bilkent.edu.tr/regenerated_pages/Mathematics_ms.html

ustun
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7

MSRI's online videos. These do not consist of courses, but each semester is themed so the videos offer good exposure to many areas of current research.

David Hill
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7

Master Class on Wall-Crossing. Lectures given by Maxim Kontsevich.

DamienC
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7

A real analysis course from Harvey Mudd College. An early course for math majors, so it also covers a bit of good proof writing techniques, induction proofs, logic, etc.

(Disclaimer: Filmed by me. So you know who to blame for the bad camera work.)

6

Sets, Counting, and Probability, taught by Paul Bamberg at Harvard.

Stefan Kohl
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alex
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6

A bit borderline since its only nine lectures, but a mini course on Additive Combinatorics taught at IAS by Boaz Barak, Luca Trevisan, and Avi Wigderson.

alex
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6

The San Francisco State University hosts large number of course videos on various subjects including:

$\cdot$42 videos on Coxeter Groups

$\cdot$41 videos on Discrete Geometry

$\cdot$18 on Dynamical Systems

$\cdot$16 on Lie Algebras

$\cdot$43 on Matroid Theory

$\cdot$28 on Real Analysis I and II $\ldots$

All you need to do is click on the drop down menu "List all courses".

Unknown
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    The link seems to be broken, but the author (last seen over 3 years ago) might have meant to link here: http://math.sfsu.edu/courseofferings.php – Todd Trimble Oct 19 '15 at 11:50
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    I am not seeing any video links on the website, but I suspect a few of these are by Federico Ardila and can be found on YouTube by searching for the author and the name of the course. – darij grinberg Aug 15 '20 at 16:56
6

Twenty-four lectures from a course on algebraic combinatorics, taught by James Propp.

Stefan Kohl
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alex
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5

I would recommend those from Simon's Center for Geometry and Physics. Here is a list of all workshops at SCGP.

Videos from all of their workshops are available online. Here are all talks from Random Tilings Workshop last February.

john mangual
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5

If it's not too gauche to plug my own course at CMU,

23 lectures on Analysis of Boolean Functions (one lecture by John Wright):

http://www.cs.cmu.edu/~odonnell/aobf12/

5

The videos of Mike Freedman lectures on the topology of 4-manifolds, broadcasted from UC Santa Barbara: Freedman's Lectures

Also other videos on 4-manifolds and related topics given at MPIM during the 4-manifold semester in 2013: MPIM lectures

5

Search iTunesU for "Mathematics": It turns up many courses (I couldn't see how to count them easily), including the Gilbert Strang course already mentioned.

Joseph O'Rourke
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  • Right, I am aware that many of these would already be on iTunesU. However, many are not, and I was thinking it would quite useful to have all of them in one place. – alex Feb 05 '11 at 18:57
5

Differential Equations, taught by Arthur Mattuck at MIT.

alex
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5

Might as well plug my own course on Diophantine Geometry. It's in Portuguese, so that will restrict the audience a bit, but I am having fun and it's nearly finished (last class on Nov 8th 2011). IMPA has a bunch of other videos as well, just follow the links.

http://video.impa.br/index.php?page=programa-de-doutorado-2011-geometria-diofantina

Felipe Voloch
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4

nice videos about Quantum Mechanics (By J.J.Binney -Oxford), total 27 videos with about 1 hour duration, and QFT (By David Tong - Cambridge). Those videos about QM are really great here.

Toby Bartels
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se-won
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4

Thematic Program on Topology and Field Theories, Summer 2012, 34 Lectures.

4

Joyal's mini-course on topos theory at IHÉS:

Clicky

Harry Gindi
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4

The Arizona Winter School short course videos have been very helpful.

4

Just found the very stimulating lectures by prof Alan Huckleberry at Bremen;

Differential geometry

Complex Analytic and Algebraic Geometry

Foundations of Mathematical Physics

random
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pi2000
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4

My alma mater, the University of Colorado at Colorado Springs, has a video course archive on some subjects (mostly undergraduate). These include

Calculus I, II, III

Differential Equations (undergrad and grad)

Linear algebra (undergrad and grad)

Discrete Math (undergrad)

Algebra (elementary and abstract)

Analysis (Real, Functional, but no Complex)

Statistics (graduate)

Geometry (mostly Euclidean)

There are several more.

For each class here, the entire semester was recorded. To download the videos, you have to create an account, which merely requires a name and email address.

Here's the webpage: https://www.uccs.edu/math/vidarchive.html

4

Thirty lectures from the course Wavelet Theory given at the University of Maryland by John Benedetto.

alex
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4

LMS Durham Symposia have archive of videos online which can be found at http://www.maths.dur.ac.uk/events/Meetings/LMS/

For example, 2009 conference on model theory of fields has videos of the talks by Hrushovski, Kazhdan, Macintyre and Zilber, among the others.

4

Here a summer school on representation theory for $SL_2(\mathbb{R})$:

http://www.math.utah.edu/vigre/minicourses/sl2/

Clay Mathematics Institute Summer School 2006 on "Arithmetic geometry":

http://www.uni-math.gwdg.de/aufzeichnungen/SummerSchool/

Algebraic Quantum Field Theory - the first 50 Years

http://www.uni-math.gwdg.de/aufzeichnungen/AQFT50/

Marc Palm
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3

A Computability Theory course by Bart Kastermans. These lectures followed Robert Soare's new book, which is not yet published, so they are temporarily behind a password; however, Bart's website indicates that the passwords are available upon request. (In any case they will be open to the public eventually, I think.)

Stefan Kohl
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Kiochi
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3

My rather standard course on ordinary differential equations, at http://drorbn.net/index.php?title=12-267.

3

The YouTube channel of The Institute of Mathematical Sciences, Chennai has several such courses, such as "Effective methods in Diophantine Analysis" by Yuri Bilu, "Soergel modules and Kazhdan-Lusztig theory" by Ben Elias, a course on von Neumann algebras by Sunder, Lie groups by Raghunathan and many more:

http://www.youtube.com/user/matsciencechannel/playlists

3

The Hausdorff Center for Mathematics in Bonn has a lot of videos online on their youtube channel.

HenrikRüping
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3

For elementary courses, say up to first year undergraduate or so, Khan Academy has a wide range of courses on maths (some of which are listed under computer science or physics).

For graduate courses, several answers have mentioned MSRI and/or the Hausdorff institute but the Fields Institute video archive deserves a mention as well. The archive does no go back very far, but there are some excellent courses at various levels. (Search for the word "course" on the linked page).

3

Two courses by Gilbert Strang: Computational Science and Engineering I and Mathematical Methods for Engineers II.

alex
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3

David Forney's course on Coding Theory at MIT.

alex
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3

The University of South Florida has a whole series of lectures devoted to numerical methods here: http://numericalmethods.eng.usf.edu/videos/

echoone
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3

A master course by Benoit Fresse on operads and Grothendieck-Teichmüller groups (in french), at Université Lille 1, given this semester (Winter 2012). The course has a really nice and complete introduction to the subject. The principal reference is a preprint (in english) writed by Fresse.

Stefan Kohl
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Yannic
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3

Andrew Ng at Stanford offers videos of various courses.

Stefan Kohl
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Michael Lugo
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2

Here is a good series of video lectures from IIT Kharagpur:

https://nptel.ac.in/courses/122104017/

PeterJ
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2

This collection has a mixture of French and English, but here you can find videos given at the Bicentennial of the Birth of Evariste Galois (Bicentennaire de la naissance d'Evariste Galois) at the Institut Henri Poincaré in Paris.

David Corwin
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2

Here you find the videos of the conference "Orbits, Primitive Ideals and Quantum Groups", Weizmann Institute, Israel.

The videos are about:

  1. Finite W-algebras, by I. Losev
  2. Adapted pairs in a biparabolic subalgebra, by F. Fauquant-Millet
  3. Hopf Algebra and Root Systems, by H-J Schneider
  4. Quiver Grassmannians, by M. Reineke
  5. Quantum quasi-Shuffles, by M. Rosso
2

Steven Miller's ongoing lectures on complex analysis are very stimulating

http://www.youtube.com/channel/UCZ_iaWQx0NpVVKvfT9tuCOg http://web.williams.edu/Mathematics/sjmiller/public_html/

pi2000
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2

Partially orderdered sets course by William T. Trotter: http://posets.tcs.uj.edu.pl/archive/.

2

The courses of the summer school Poisson 2016 (that took place in Geneva) are available online.

The courses are:

Even the lectures of the conference Poisson 2016 (that took place in Zurich) are available online.

agt
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2

CIRM has a collection of video courses called CARMIN.TV

Ben McKay
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2

There are lots of good math courses available here.

random
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2

My lectures on exterior differential systems and the lecture notes.

Ben McKay
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2
  1. Here are video lectures from Taiwan Mathematics School; some of them were delivered in Mandarin: https://sites.google.com/view/tms-home/media-archive?authuser=0

  2. The following courses (all in Mandarin) were taught by Professor Chen-Yu Chi at National Taiwan University:

  • Calculus 1 & Calculus 2. The topics in these courses are more like "advance calculus", not the usual calculus content.
  • Analysis 1 & Analysis 2. The topics include complex analysis, de Rham cohomology, functional analysis, Lebesgue integral, smooth manifold, measure theory, ODE, singular homology, topology.
  • Algebraic Topology. The main textbook is Algebraic Topology by Edwin H. Spanier.
YCC
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2

I recently found the YouTube channel of the university of Uppsala (Uppsala Algebra : https://www.youtube.com/channel/UCPWnhR29VHTAk7rZUEDQdDQ/playlists)

It contains mostly courses by Walter Mazorchuk on representation theory of finite groups, Lie algebras and the category O (and on linear algebra which if of less interest for me) and a course on commutative algebra and algebraic geometry by Seidon Alsaody.

I mostly watched the courses by W. Mazorchuk and they are very good.

2

A series of lectures on symmetric functions, Macdonald polynomials and double affine Hecke algebras (videos and notes) organised in 2021 by R Venkatesh of the Indian Institute of Science; see also its youtube playlist, the syllabus, and the ensuing conference on applications of Macdonald polynomials (videos and slides)

Jules Lamers
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2

There are lots of links to various pages filled with online video lectures here.

Go to "Links" on the left hand side.

Some of the links are broken or out of date, but there's still a ton of good stuff here.

random
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2

Very, very introductory lectures in complex analysis: http://adamglesserf09math481.wordpress.com/page/3/

MBP
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2

Eight recent lectures by Emmanuel Candes on compressed sensing are linked to from here: http://www.newton.ac.uk/programmes/INI/iniw04p.html

More generally, the Newton Institute has been making a large archive of talks available.

gowers
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2

If you happen to know Italian, on Massimo Gobbino's home page there are videos (tablet pc screencasts + audio) of several courses (Calculus I and II for engineers, honors calculus/analysis) and lots of high-school Math Olympiad training material.

Highly recommended: I find tablet screencasts an excellent medium, and on top of that Massimo is a great teacher.

2

Here is a summer school on Berkovich spaces

http://www.diffusion.ens.fr/index.php?res=cycles&idcycle=490

(there are more courses at http://www.diffusion.ens.fr/ but unfortunately they are not broken into categories; one has to fish for mathematical courses more or less via manual search)

The following links lead to lectures in Russian.

http://bogomolov-lab.ru/SHKOLA/courses.html

a summer school for undergraduates (topics include number theory, metric geometry, anabelian geometry)

http://www.mathnet.ru/php/presentation.phtml?&option_lang=eng

has a huge collection of videos, including recordings of summer school courses both for undergraduates and graduates.

http://www.lektorium.tv/ is an example of a similar effort.

1

Here is a good resource of video lectures conducted by IIT's & IISc's:

1

There is also a YouTube channel:

2

random
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NIL
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1

A one semester introductory course to infinite-dimensional differential geometry (Lie groups and Riemannian geometry) can be found here

random
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1

My course lecture videos:

1

My videos about the application of mathematics in physics are in

https://www.aparat.com/Meisami67

Also there are videos which contain intriguing short questions and their answers.

1

the link by Elohemahab Solomon some lectures on lie algebra

random
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  • @Neeraj, you can find them here:http://www.ictp.tv/diploma/search.php?activityid=HEP&course=Lie_Groups_and_Lie_Algebras – Unknown Dec 22 '11 at 23:19
1

All Master Classes given at QGM and the previous CTQM are online here: http://qgm.au.dk/video/ and here: http://www.ctqm.au.dk/news/special_events.html.

It is quite an extensive list of 17 Master Classes in total. The courses are on a variety of different subjects, given by among others Maxim Kontsevich, Nicolai Reshetikhin, Nigel Hitchin, Vaughan Jones, Tom Mrowka, Gregor Masbaum, Dylan Thurston, Robert Penner and many more.

0

Mini-course on "FROBENIUS MANIFOLDS, IRREGULAR SINGULARITIES, AND ISOMONODROMY DEFORMATIONS",

The course will consist of 5 lectures, which will be shown live on YouTube, at the url shown below (where the lectures will stay available for a later view).

1)Introduction to Frobenius manifolds

2)Examples of Frobenius manifolds

3)Analytic theory of Frobenius manifolds -

I

II

4)Some recent results and work in progress

random
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John117
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