157 words Career and Education Questions 191 words When can we analytically derive the value of a definite integral when its integrand doesn't have an elementary anti-derivative? 245 words Is there an "algebra" for algorithms? 246 words Simple Questions - April 19, 2019 113 words Benefits of self-learning math 286 words Career and Education Questions 234 words Probability via Category Theory 144 words This last formula is referred to as the generalised Pythagorean theorem. How is it derived? 161 words Simple Questions - January 11, 2019 121 words Sir Michael Atiyah at my talk in Edinburgh a few months ago. He had the audience in stitches when he said he would have loved to join in with the stripping if only he were a few years younger! He was a real gentleman, incredibly humble and down to earth and a real legend of Mathematics. R.I.P. 175 words Mathematical modeling identifies designs that may enable engineering of 2km+ long bridge spans in the future. 157 words Sharpest difficulty increase in a math class for you 197 words Career and Education Questions 218 words Simple Questions - December 28, 2018 211 words Does anyone know if there is a branch of mathematics that died out because it is just too hard? And if so what makes it so hard? 112 words On distinguishing theorists from crackpots: "A crackpot relies primarily on positive evidence ... A theorist, on the other prong, incorporates negative evidence: she ponders hard about a problem, arrives at a theory that feels right and then proceeds to try to disprove that theory." 259 words Who else is going to the Joint Mathematics Meetings in Baltimore 2019? 135 words I'm participating in a "Be the Mathematician" event for kids. What are some math concepts I can introduce to younger children? 183 words Studying mathematics has fundamentally altered my entire experience of life. 172 words Is there a set of numbers that we can prove exists but we don't know what any of the elements are?