External Links and Resources

The internet has so many things. Here are some that I thought were good to share. 

They may not necessarily correspond to my opinions, but learning a range of perspectives is important.

(Please email me if you encounter broken links, much appreciated!)

On being a student

• link Mathematics Students Resource, Dan Margalit. 

• link Problem Solving Strategies, Terence Tao.

• link (video) How to self study pure math - a complete guide, Aleph 0.

• link Mathematics Textbooks for Self Study -- A Guide for the Autodidact, Mark Tomforde.

• link Meet Our Faculty (2022), Brown Computer Science.

• link Career Advice, Terence Tao.

• link "The 0th lesson in mathematics is that you should always begin by guessing... and if possible, in public." Tadashi Tokieda.

For prospective graduate students 

A sample of what it might look like from the professor's point of view.

• link Kathryn Mann.

• link Alex Kiselev.

• link Shankar Venkataramani.

• link Ravi Vakil.

• link Shriram Krishnamurthi.

• link Recommendation Requests, Joseph Silverman.

For current graduate students

• link A Few Words on Research for Graduate Students, Fan Chung Graham.

• link Graduate Student Guide, Lance Fortnow.

• link A Mathematician's Survival Guide: Graduate School and Early Career Development, Steven Krantz.

• link Having a Grand Project, Mark Tomforde.

• link I Have Passed My Quals, Now What? Mark Tomforde.

• link How to Do Research with a Professor, Jason Eisner.

• link How to Be a Successful PhD Student, Mark Dredze and Hanna Wallach

For aspiring intellectuals

• link Importance of Stupidty in Scientific Research, Martin Schwartz.

• link Advice for the Young Scientist, John Baez.

• link Advice to a Young Mathematician, Michael Atiyah.

• link My Crazy Uncle's Wacky Wisdom, Bernardo Cockburn.

• link Four Golden Lessons, Steven Weinberg.

• link1 (transcript) link2 (video) link3 (summary) You and Your Research, Richard Hamming.

• link Paths, a project of recollection by mathematicians.

• link Science in the age of Selfies, Donald and Stuart Geman.

• link Doing Mathematical Reseach. 

• link Lee Lady hompage.

• link Advice, Steven Miller. 

Tips for applications

• link Research Statement, Cornell University.

• link Writing a Research Statement, Alex Lu.

• link Writing a Teaching Statement, James Oxley.

• link Writing a Teaching Philosophy Statement, Helen Grundman.

• link NSF Fellowship, Alex Lang.

On writing

• link Practical Suggestions for Mathematical Writing, Bjorn Poonen.

• link How to Write a Clear Math Paper: Some 21st Century Tips, Igor Pak.

• link Politics and the English Language, George Orwell.

On giving talks

• link Suggestions For Giving Talks, Robert Geroch.

• link Ten Lessons I Wish I Had Been Taught, Gian-Carlo Rota.

• link Talks are not the same as papers, Terence Tao.

• link How To Speak, Patrick Winston.

On teaching and learning

• link Thinking Mathematically blog.

• link Let's Listen, Thomas Goodwillie.

• link Should Mathematicians Teach Statistics? David Moore.

• link1, link2 The Case Against Grades, Alfie Kohn.

• link The Innovative Instructor Blog, JHU CTEI.

• link Vanderbilt Center for Teaching.

• link Students in ‘active learning’ classrooms learn more than they think, Harvard Gazette.

• link On Learning, Diana Davis.

On living

• link From Segregation to Department Head, Nathaniel Whitaker.

• link Why Do Men Stupefy Themselves? Leo Tolstoy.

• link What You'll Wish You'd Known, Paul Graham.

• link How to Think for Yourself, Paul Graham.

• link David Mumford blog.

• link On Learning and Seeing, Holden Lee.