In this condensed episode, Julián Hernández-Serrano employs his diverse backgrounds and personal experience to share with us:

- how can good narratives help us solve problems

- what can hurricanes teach us

- why should we be careful when coding

- when to ground ourselves in the center

Startovač: https://www.startovac.cz/patron/misto-problemu/

FB stránka: https://www.facebook.com/mistoproblemu

Web: https://www.mistoproblemu.cz/

Timestamps:

(0:00) introduction

(2:28) capitalizing on different backgrounds

(7:57) Puerto Rican environment and survivalist mindset

(13:32) using storytelling for problem solving

(22:30) a favorite story

(26:42) systematizing experiments on narratives

(33:55) the impact of the internet

(36:44) the importance of staying in the center

Links:

- Roger Schank: https://www.rogerschank.com/What-We-Learn-When-We-Learn-by-Doing, https://www.youtube.com/watch?v=c5Ah3Om-sFY

- Stories in problem solving: https://www.researchgate.net/publication/226534846_Case-based_reasoning_and_instructional_design_Using_stories_to_support_problem_solving, https://www.researchgate.net/publication/227714410_The_effects_of_case_libraries_on_problem_solving

- Julián's mail: julian.hernandez@upr.edu

André Hernández-Espiet formalizes Euclid's Elements in the proof assistant Lean. He will offer some thoughts on:

- what principles are essential when coding up geometry in a rigorous way

- why is graduate school a scam

- which skills and approaches are useful both in academia and the industry

- how can early access to education influence your life

Startovač: https://www.startovac.cz/patron/misto-problemu/

FB page: https://www.facebook.com/mistoproblemu

Web: https://www.mistoproblemu.cz/

Timestamps:

(0:00) introduction

(3:49) Lean and getting into it

(7:20) axiomatic systems and different geometries

(19:33) practical aspects and benefits of using Lean

(34:56) Lean communities and communication across fields

(47:23) decoupling of math from its applications

(55:38) thoughts on grad school and transitioning to the industry

(1:05:51) networking and nepotism

(1:17:46) impact of math on personal life

(1:29:18) growing up in Puerto Rico

Links:

- André's formalization of the first book of Euclid's Elements: https://github.com/ah1112/synthetic_euclid_4

- Lean blog post series: https://www.vladasedlacek.cz/en/posts/lean-01-intro

- Spherical triangles: https://en.wikipedia.org/wiki/Spherical_trigonometry

- The Erdős Institute: https://www.erdosinstitute.org/

- Blog of Alice Silverberg: https://numberlandadventures.blogspot.com/

- 3Blue1Brown: https://www.3blue1brown.com/

- Numberphile: https://www.numberphile.com/

- Project Euler: https://projecteuler.net/

- Cryptohack: https://cryptohack.org/

- Better explained: https://betterexplained.com/

- Brilliant: https://brilliant.org/

- Khan Academy: https://www.khanacademy.org/

With mathematical physicist Ian Jauslin, we explore both scientific and personal topics, including:

- whether our universe could be nonlocal

- why not to put people and concepts into boxes

- what can math look like when approached organically

- how to constantly keep learning

Startovač: https://www.startovac.cz/patron/misto-problemu/

FB page: https://www.facebook.com/mistoproblemu

Web: https://www.mistoproblemu.cz/

Timestamps:

(00:00) introduction

(02:46) bosons and superfluidity

(05:46) crystallization

(17:30) math/physics interplay

(20:48) Bell's inequality

(34:12) consequences of nonlocality

(39:04) quantum cryptography

(45:12) putting people and concepts in boxes

(52:52) Bourbaki vs. organic education

(1:01:28) applicability and approach to research

(1:06:53) outreach

(1:16:30) curiosity

(1:21:25) efficiency, vim, and keyboard layouts

(1:30:07) failures in research, time management

(1:37:24) easy life and definition of success

(1:41:40) problem-solving strategies

(1:45:52) a final plea

Links:

- Ian's webpage: http://ian.jauslin.org/

- YouTube channel: https://www.youtube.com/channel/UC5OD3zd3Ds0Syf6s6cYemIw

- Einstein-Podolsky-Rosen paper: https://iep.utm.edu/wp-content/media/epr-pdf.pdf

- Nicolas Bourbaki: https://en.wikipedia.org/wiki/Nicolas_Bourbaki

- Bell's inequality: http://scholarpedia.org/article/Bell%27s_theorem

- vim: https://www.vim.org/

- Committee of Concerned Scientists: https://concernedscientists.org/