Math-Life Balance

Enjoy the interview with Dennis Gaitsgory, who thinks about questions deeply yet answers lightly! Jokes included :)Dennis webpage: https://people.mpim-bonn.mpg.de/gaitsgde/0:00 teaser0:30 attending a class by Witten5:15 math vs physics: difference?9:20 doing math: happiness and frustration13:10 what changes with age17:10 non-math problems: oh no! ;)23:23 advice for getting back into math26:45 how to prove Langlands correspondence...31:49 when math doesn't work33:25 raising kids: thoughts36:00 book recommendation from Dennis37:38 stories about India40:36 beautiful non-math hobby42:40 hot take on grant system45:06 guess Dennis' favourite animal!47:12 advice to young mathematicians

David Kazhdan:https://en.wikipedia.org/wiki/David_Kazhdanhttp://www.ma.huji.ac.il/~kazhdan/Dennis Gaitsgory:https://people.mpim-bonn.mpg.de/gaitsgde/https://en.wikipedia.org/wiki/Dennis_GaitsgoryQuanta article: https://www.quantamagazine.org/monumental-proof-settles-geometric-langlands-conjecture-20240719/Israel Gelfand: https://en.wikipedia.org/wiki/Israel_GelfandGeorge Luszting: https://en.wikipedia.org/wiki/George_LusztigVladimir Voevodsky: https://en.wikipedia.org/wiki/Vladimir_Voevodsky0:00 intro0:25 why math5:35 student of Gelfand11:04 Langlands program & motives & physics14:35 math heroes16:37 main interest in math21:01 how about math puzzles24:34 approaches to hard problems27:30 negative emotions? introspection?31:41 collaboration with Lusztig36:20 thoughts on Voevodsky41:02 impressions from conferences45:23 Harvard in the good old days48:25 family connections

Simon Singh is, according to himself, "an author, journalist and TV producer, specialising in science and mathematics, the only two subjects I have the faintest clue about". In this interview we chat about various projects of Simon, from theatre festivals to math education in schools, and argue about math outreach. Have fun listening!Simon's webpage: simonsingh.netParallel project: parallel.org.ukMath-Life Balance on YouTube: youtube.com/@math-life-balanceChapters:0:00 teaser0:41 math & magic at Fringe9:15 cool math for teenagers16:16 why kids really need it18:52 confidence for various projects20:41 Shakespeare in math class?28:51 what could go wrong30:48 outreach and effectivity34:56 Simon gets annoyed :)37:03 too much outreach?39:50 math in Simpsons and writing44:38 sweet book selling story46:45 how I learned about Simon

Grant Sanderson is the creator of the coolest math youtube channel, "3blue1brown". In this interview, Grant and Mura chat about a bunch of different topics, such as feelings towards abstract math, and even hear Grant read a piece from his poem. Enjoy Grant's beautiful thoughts and exquisite English!Grant's channel: youtube.com/ 3blue1brownGrant's homepage: 3blue1brown.com/aboutGrant's poetry: 3blue1brown.com/blog/poemsThe Math-life balance YouTube channel: youtube.com/@math-life-balanceChapters:0:00 teaser0:45 introducing Grant and his job2:52 struggles of having a popular YouTube channel6:03 sociology of math outreach10:36 why people love 3blue1brown13:22 how to popularize abstract math17:40 making algebraic K-theory popular21:17 how to measure success27:16 did god hand you the definition of a topological space?32:27 who writes wiki pages and and why36:13 which feelings cause abstraction44:39 what if you don't understand math46:49 unpacking genius51:48 how Grant deals with the frustration of not understanding math55:16 Grant's poetry1:01:47 Grant's question to mathematicians1:03:38 advice from Grant

In this interview, Jeremiah Heller and Vesna Stojanoska share their experience of combining math and family life, discuss their ways to get over occasional demotivation in research and speak about social aspects of research. Jokes included! Jeremiah's homepage: https://faculty.math.illinois.edu/~jbheller/ Vesna's homepage: https://faculty.math.illinois.edu/~vesna/ Mike Hopkins’ talk at Paul Goerss’ birthday conference: youtu.be/Ix4pg87LKVk Chapters: 0:00 teaser 0:34 their family and other animals 4:04 kids’ curiosity about math 8:30 wishes for kids’ future 11:04 existential chat about adulthood  13:51 research & relationship 16:13 finding friends outside math bubble 19:26 two-body problem 21:59 math talks as storytelling 27:01 approaches to doing math 31:02 getting over demotivation in research 35:23 mathematics is a social endeavour 37:12 jobmarket pressure 43:24 having kids & academia 47:18 solid advice

Dhruv Ranganathan is a lecturer at Cambridge University, working in algebraic geometry. In this video, Dhruv talks about doing research with undergrads, being tortured by math problems, looking for friends to write math papers, and other cool stuff! Dhruv's webpage: https://www.dhruvrnathan.net Photo: from the webpage 0:00 teaser 0:41 from cricket to air planes 2:16 adventure novels childhood 4:46 what do algebraic geometers do 8:39 experience of undergrad research 12:30 how undergrad research really works 15:35 “now I’m a believer”(c) 18:25 why so much pressure in doing math 21:09 how we create pressure for young people 23:44 doing math as a coping mechanism 27:00 math torture vs intense cartoon watching 28:50 speakers love getting any math questions 30:54 math for extroverts  34:25 teaching students who leave academia 37:33 don’t beat yourself up for math mistakes 39:39 how we try and fail to improve inclusivity 43:44 don’t put people from minorities on every committee 45:45 the advice that’s too hard to follow 48:35 fireplace

Kevin Buzzard is a professor in Imperial College London working in number theory and formal proof verification. In this interview, Kevin shares his views on the role of computers in doing math, tells about his experience of upbringing 3 kids as a researcher and raises questions about the way we approach math education. Lots of glorious laughter and unforgettable facial expressions are included! Kevin's homepage: https://www.imperial.ac.uk/people/k.buzzard Channel podcast: https://anchor.fm/math-life-balance​​​​ Chapters: 0:00 teaser 0:48 Kevin’s t-shirt 3:06 imagination in math 5:36 computers vs humans 10:43 computers and infinity 12:35 math as a zen puzzle 15:19 role of fashion in math 20:06 mathematicians detecting mistakes 24:41 imperfections in our math 29:14 when the dust settles 31:56 not caring what people think 36:01 how to entertain kids in the subway 40:26 babies as the way to understand humanity 42:52 doing math when you have 3 kids 46:09 writing papers with non-mathematicians 48:54 why kids are forced to memorize math? 53:29 doing exams vs learning math 57:16 unusual advice for students 59:15 the answer to the ultimate question

Maria Chudnovsky is a professor at Princeton University, working in graph theory and combinatorics. In this interview, Maria shares her personal experiences: learning Hebrew from math lessons, giving a talk at NASA, using math at her own wedding, and many more! Maria's homepage: http://web.math.princeton.edu/~mchudnov/ Photo: from Maria's homepage The essay we mentioned: W.T. Gowers "The two cultures of mathematics" https://www.dpmms.cam.ac.uk/~wtg10/2cultures.pdf 0:00 teaser 0:29 respect for math at home 2:43 math helps when you don’t speak the local language 6:42 building a world around a research problem 11:37 explaining math to a broad audience 16:00 giving a talk at NASA 19:42 applying graph theory to your wedding 23:16 problem solving vs learning 27:58 being bad at math olympiads  30:40 working with your own students 33:23 experience of doing a PhD 36:02 memorizing math  37:55 studying physics vs math 43:43 maintaining a work-life balance 49:08 everyone has self-doubts 50:54 first time teaching a class 55:46 final advice

Tomer Schlank is a professor at the Hebrew University of Jerusalem, working in homotopy theory and arithmetic geometry. In this interview, Tomer shares his experience of advising a big group of students, speaks about the importance of embracing the struggle, and explains how to get unstuck in a math problem. Tomer's homepage: https://mathematics.huji.ac.il/people/tomer-schlank Photo: from Tomer's homepage 0:00 teaser 0:31 astronaut’s dreams 4:06 enjoying the struggle 8:27 top-down thinking 11:35 seminar with physicists 14:52 math dream with Vesna Stojanoska 19:24 taking breaks in projects 22:32 advising 11 students 26:47 doing math & drinking arak 31:14 being stuck is good for you 34:49 how to get unstuck 38:08 don’t worry about talent 42:33 why people hate math 45:36 run towards the problem 48:25 don’t look down on other parts of math 51:43 final advice

Saul Glasman worked in homotopy theory and K-theory, and now works as a software engineer. In this interview, we discuss the hardships of academic jobmarket, fears around leaving math, and the fundamental problems in academia. Saul's homepage: http://www-users.math.umn.edu/~sglasman/ Photo: from his website #mathematician​​​​​​ #mathlife​​​​​​ #interview​​​​​​  #academiavsindustry #leavingacademia #jobmarketacademia 0:00 teaser 0:44 always loved math 2:04 why left academia 8:55  the fears of leaving 14:02 staying in touch with math 20:33 send greetings to Saul :) 21:55 stigma around leaving academia 25:13 problems in academia 30:11 we aren't taught to teach 35:50 there's freedom in industry 37:36 and you feel productive! 42:44 social interactions: academia vs industry 45:19 learning effective team work 49:15 you can learn to enjoy a job 52:20 why can't we do internships 55:47 what you wish you knew 59:02 advice for those who have doubts

Giulia Saccà is an assistant professor at Columbia  University, working in algebraic geometry. In this interview, Giulia gives jobmarket advice for mathematicians, contemplates some of the struggles that minorities in math get to deal with, and tells about books that resemble math research.  Giulia's homepage: http://math.columbia.edu/~giulia/ Photo: Allegra Boverman Women in Math program at IAS: https://www.ias.edu/math/wam 0:00 teaser 0:27 interests in history in philosophy 6:51 jobmarket advice 11:37 talking about our insecurities helps 16:23 struggles of minorities in math 20:05 what to do with impostor syndrome 27:01 how to find role models 30:48 Women in Math program at IAS is great 35:57 the future of online seminars 41:06 how to keep track of math projects 47:27 which music helps to do math 49:31 alpinism resembles doing research 52:21 Proust writes about math 58:44 the joy of cooking 1:00:40 a wish for young mathematicians

In this [episode], I read a piece from Thurston's essay "On proof and progress in mathematics", where he reflects on the importance of seeing mathematicians' progress and contributions much broader than just in proving new theorems. William Thurston on Wikipedia: https://en.wikipedia.org/wiki/William_Thurston Cover photo: from this Wikipedia page The full essay: https://arxiv.org/pdf/math/9404236.pdf Thurston's lecture "Knots to Narnia": https://youtu.be/IKSrBt2kFD4 Thurston's answer on MathOverflow about contributions in mathematics: https://mathoverflow.net/questions/43690/whats-a-mathematician-to-do/44213#44213

This sarcastic [episode] is dedicated to my family and all my friends of the last 10 years. They will see why. A special thanks to Nicole R. for the help with the video(s)! And to my brother for the T-shirt: there’s a tiny cute bug that says "I have giant problems". 0:00 Prologue 0:53 Inclusivity statement 1:24 How to build an abusive relationship with your research 3:00 How to suffer from doing research 5:10 How to be unproductive   7:01 How to compare yourself with others 8:38 How to feel worse from reassurance 9:33 Epilogue

Irakli Patchkoria is a lecturer at the University of Aberdeen, working in homotopy theory. In this interview, he speaks about math-tennis balance, shares his experience of moving from Georgia to Western Europe and admits taking part in illegal actions on university exams. Irakli's homepage: https://www.abdn.ac.uk/people/irakli.patchkoria Photo: Irakli's private photo collection 0:00 teaser 1:13 epic story of family math 6:21 father’s advice 10:25 don’t work too much 14:41 experience in collaborations 19:02 Georgians and assimilation 21:47 making new friends (hey, Zurich!) 25:47 cheating on exams 28:38 you will have ideas for papers 33:48 don’t be afraid of stars in math 38:16 partying hard 41:25 drinking with mathematicians 43:41 math and the meaning of life 46:22 please make jokes in talks 48:53 helping young mathematicians

Peter Scholze is a professor in Bonn University, working in number theory and arithmetic geometry. In this interview, we chat about the pressure of the Fields medal, discuss the pain of writing math papers and argue about math. Peter's homepage: http://www.math.uni-bonn.de/people/scholze/ Photo: Hausdorff Center for Mathematics / Barbara Frommann Merkurjev's lecture on the proof of Bloch-Kato conjecture: https://youtu.be/bUaWCOtBUHs 0:00 proof or relatability  0:58 influence of the background 2:50 learning math vs solving problems 7:38 Peter is not creative 11:55 math chat (sorry!) 14:23 collaborating with Dustin Clausen 16:29 math gives head ache 18:20 pressure of Fields medal 21:47 representing others is the worst 24:01 interviews with prodigies 26:53 don't waste time on the Riemann hypothesis 29:28 emails from amateur mathematicians 34:01 lockdown time is unproductive 36:52 writing math is pain 40:50 thanks to Germany for sponsoring math 45:09 updating Hilbert’s list of problems 49:07 Oberwolfach AG’s are cool 55:31 advice for young mathematicians

Ravi Vakil is a professor at Stanford University, working in algebraic geometry. In this interview, Ravi talks about the importance of a community for learning math, discusses the ways of learning to be creative at math and shares how considering other career options helped him to be happier as a mathematician.  A clarification for Ravi's comment on the situation with math in USSR:  Due to deep-rooted antisemitism in the Soviet Union, the admission of ethnically Jewish mathematicians into top universities was unofficially “limited” by the state. Faced with these hurdles, Jewish mathematicians opted for institutions specializing in specific technologies, such as the Oil and Gas Institute. Over time, some of these lesser known institutions earned a reputation for producing leading academics in the  fundamental sciences. Ravi's homepage: http://math.stanford.edu/~vakil/​ Photo: website of Stanford University 0:00​ teaser 0:40​ wish to be an embassador 4:36​ school teachers are the most important 7:17​ coming up with math questions 12:56​ don’t write emails with vague questions 19:12​ not making students intimidated 25:41​ building welcoming communities 29:34​ USSR math: fairytale vs antisemitism 32:13​ big picture vs details 39:55​ learn math by solving problems 41:45​ consider other jobs to release pressure 49:00​ why look down on applied mathematicians 53:15​ how to follow math talks 59:27​ the most desired interviewee 59:58​ wish for young mathematicians

Max Karoubi is a Professor Emmeritus at the University of Paris 7, working in K-theory and algebraic topology. In this interview, Max shares warm memories about Grothendieck and the Bourbaki group, discusses math studies in Northern Africa and highly recommends doing research in collaborations.  Max' webpage: https://webusers.imj-prg.fr/~max.karoubi/ Photo: from Max' webpage 0:00​ teaser 0:43​ getting into math in Northern Africa 5:33​ getting a family helped to do math 9:12​ PhD under Cartan and Grothendieck 13:05​ Grothendieck: naive genius  16:53​ Karoubi as a name for math terminology 19:18​ new foundations of hermitian K-theory 22:20​ why write math in french 26:33​ founding European Congress of Mathematics 29:30​ collaborators are the best 34:35​ the importance of teaching 38:53​ why french people are arrogant 42:26​ RIP good jobmarket times 44:33​ how we can help math in developing countries  46:44​ traveling to USSR in 1961 48:58​ please don’t boycott ICM! 51:35​ you cannot do math alone 55:58​ wish for young mathematicians

Mariana Smit Vega Garcia is an Assistant Professor at Western Washington University, working in geometric analysis and partial differential equations. In this interview, Mariana speaks, among other things, about her math-life balance, the experience of representing different minorities and the joy of teaching mathematics. In addition: lots of friendly advice for undergrads! Mariana's webpage: http://faculty.wwu.edu/smitvem/​ Photo: from Mariana's webpage 0:00​ teaser 0:44​ didn’t want to be a professor 3:28​ trying to find math-life balance 9:10​ collaborators are friends 13:06​ mathematician-extrovert 16:05​ experiencing sexism 19:10​ burden of representing a minority 21:38​ insecurities in math 27:09​ joy of teaching 30:07​ motivation to do research 34:28​ algebraic vs analytic worlds 38:35​ pessimism in research 40:31​ we are more than our math 44:22​ moving around the world 49:35​ advice for students from faraway 52:32​ initiatives for minorities 58:32​ what students have to know 1:00:08​ final advice

Richard Thomas is a professor at Imperial College London, working in algebraic geometry and mirror symmetry. In this interview, Richard speaks about math education for kids, contemplates the process of doing research and gives plenty of good advice for PhD students.  Richard's webpage: http://wwwf.imperial.ac.uk/~rpwt/​ Photo: Richard's wikipedia page Interview with Richard Thomas 0:00​ teaser 0:30​ non-linear way in math 3:14​ the mystery of mathematicians 6:55​ kids' attitude to math problems 11:40​ boys vs girls math approach 16:26​ me being triggered (clickbait!) 21:32​ what made Richard a mathematician 26:40​ insights vs dull proofs 29:06​ math is subjective  30:08​ process of doing math research 35:16​ obstructions to enjoying research 37:53​ what students should know 43:53​ hardest part of research 47:36​ insecurities of mathematicians 51:19​ psychology of doing math 54:55​ minorities in math 1:01:14​ math during an earthquake

This video is dedicated to my teacher of mathematics in the middle school, Andrey Yurjevich Alexeev. Time for stories about my first encounter with "abstract math" and my first math talk! My school: https://610.ru/en/​ Photo of A. Yu. Alexeev: from Vasily Baev's private collection