Resources
- Research Seminars. Provides lists of online seminars/conferences in mathematics, computer science, physics, etc. Open to everyone.
- Advice for pure math undergraduates in UMass Amherst (Archive) by Prof. Jenia Tevelev. I believe that his opinions are still valid for applied math students.
- Applying to Ph.D. Programs in Computer Science by Prof. Mor Harchol-Balter. If you are thinking of applying to Ph.D. programs in CS, please, do read this first.
- Mathcha makes tikz easier. Also, quiver (tikzcd-editor), FSM Designer, and detexify are very useful.
- TikZ for Cryptographers: Goldmine of cryptography-related figures, ranging from hash functions to garbled circuits.
- ISGCI, an encyclopaedia of graph classes. Then there are EC Zoo for error correcting codes and Complexity Zoo for computational complexity classes.
- Number Theory Web. The website that lists out all number theory listings (conferences, open positions, etc.). Usually up to date.
- Topologies comparison. Interact-able graph of Grothendieck topologies picturing their properties and relationships. Made by Pieter Belmans.
- How to write a solution. Written from math olympiad perspectives, but still valid for professional mathematics/physics/computer science.
- Google Project Zero. Stay up-to-date with recent cybersecurity issues in detail! There is also Will's Root focusing on CTF Writeups and Pentestings.
- WeChall, OverTheWire, picoCTF, and Cryptohack have interesting CTF-like cybersecurity challenges. If you are a Purdue student, please also give our own internal CTF a shot too!
- OURFA²M² provides many helpful information for undergraduate math majors.
- AMS Collaboration Distance and Mathematics Genealogy.
Purdue
Online Lectures
Let us not forget to thank all those people who generously made their courses and seminars open to public for us.Thoughts / Pedagogies
- AI and Cryptography: Challenges and Opportunities, by Shafi Goldwasser (Wiki), 2012 Turing Award winner. "Ensure that the power of ML is not abused".
- Software disenchantment. "Windows 95 was 30MB. Today we have web pages heavier than that! Windows 10 is 4GB, which is 133 times as big. But is it 133 times as superior?"
- Does one have to be a genius to do maths? by Terry Tao (Wiki), 2006 Fields Medalist. "The objective in mathematics is not to obtain the highest ranking, the highest “score”, or the highest number of prizes and awards". If you read Korean, take a look at this webtoon as well.
- Living Proof: Stories of Resilience Along the Mathematical Journey again by Terry Tao. Please read this if you feel incompetent or powerless after an exam (or a semester). Don't be discouraged! There's more to mathematics than grades and exams and methods.
- Math is Personal. In case you do not understand why teachers are often called the engineers of human soul. Learning is very deep and students are too valuable to be just classified using some letters and numerics.
- There’s more to mathematics than rigour and proofs again by Terry Tao. It changed my perspective on math (and CS indeed) education quite a bit. See also Good Mathematician vs. Great Mathematician by Ben Orlin.
- Why won’t anyone teach me math? I agree that a certain level of difficulty must be maintained in curriculums. However, systemically refusing to help or educate students is not a reasonable method of keeping that standard.
- Having Time for Math by Evan Chen. If you don't have time, then maybe you should make some time!
- The 4 R's of Graduate School by Manuel Blum (Wiki), 1995 Turing Award winner. "Without writing, you are reduced to a finite automaton. With writing you have the extraordinary power of a Turing machine."
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