https://padlet.com/peh21/cu2y7nq3rs1sfwyy Share your questions here! en-us 2021-07-15 15:48:22 UTC 2025-12-01 00:28:47 UTC hello@padlet.com Tomas_AF https://padlet.com/peh21/cu2y7nq3rs1sfwyy/wish/1651617690 You mentioned within your talk that two things we should all be doing is not comparing ourselves to others and not letting others define our own success. Although I fully agree with this, I find that it can sometimes be hard to implement that in practice, particularly due when particular power structures kind of push you to define success or strive for awards in different manners. Have you ever faced this, and if so, how have you overcome it? Do you have advice on how to implement this concretely for mathematicians like ourselves?]]> 2021-07-15 21:53:58 UTC https://padlet.com/peh21/cu2y7nq3rs1sfwyy/wish/1651617690 Tomas_AF https://padlet.com/peh21/cu2y7nq3rs1sfwyy/wish/1651619457 I was super intrigued that you were able to bound the number of smooth arithmetical structures between two curves. Would you be able to expand upon how you were able to do this and how this may come into play in future work?]]> 2021-07-15 21:57:48 UTC https://padlet.com/peh21/cu2y7nq3rs1sfwyy/wish/1651619457 https://padlet.com/peh21/cu2y7nq3rs1sfwyy/wish/1651743094 Being in Puerto Rico your whole life, how did you deal with the changes that come with moving to another country?]]> 2021-07-16 00:21:23 UTC https://padlet.com/peh21/cu2y7nq3rs1sfwyy/wish/1651743094 lliu74 https://padlet.com/peh21/cu2y7nq3rs1sfwyy/wish/1652747091 What advice would you give to a "naive" young math student? I consider myself as naive because I don't recognize the power of certain names of faculty/schools. ]]> 2021-07-16 14:47:22 UTC https://padlet.com/peh21/cu2y7nq3rs1sfwyy/wish/1652747091 acelestine https://padlet.com/peh21/cu2y7nq3rs1sfwyy/wish/1652756505 In the video you described the journey to your tenure track at Villanova University. Could you talk a bit more about the decision on the research topic you are pursuing and how these learned skills (through research) are applicable to your teaching?]]> 2021-07-16 14:57:37 UTC https://padlet.com/peh21/cu2y7nq3rs1sfwyy/wish/1652756505 jvanderleeuw https://padlet.com/peh21/cu2y7nq3rs1sfwyy/wish/1652757384 Is there a certain name or names for a graph/graphs made up of some of the simple graphs mentioned (like a combination of a star graph and path graph for example)?]]> 2021-07-16 14:58:37 UTC https://padlet.com/peh21/cu2y7nq3rs1sfwyy/wish/1652757384 jvanderleeuw https://padlet.com/peh21/cu2y7nq3rs1sfwyy/wish/1652763541 Could you go over an example of creating the adjacency matrix of a graph in which there is an r that solves the equation as well as one that does not?]]> 2021-07-16 15:05:36 UTC https://padlet.com/peh21/cu2y7nq3rs1sfwyy/wish/1652763541 https://padlet.com/peh21/cu2y7nq3rs1sfwyy/wish/1652812957 Did you ever feel like giving up on your PhD? What were some ups and downs you had and how did you keep yourself motivated to push through?

]]> 2021-07-16 16:08:08 UTC https://padlet.com/peh21/cu2y7nq3rs1sfwyy/wish/1652812957 lliu74 https://padlet.com/peh21/cu2y7nq3rs1sfwyy/wish/1652917180 I'm wondering in academia, are there workshops or training for faculty to be mentors? Or is it that the great mentors we meet pick this up through experience and conversing with others? ]]> 2021-07-16 18:38:05 UTC https://padlet.com/peh21/cu2y7nq3rs1sfwyy/wish/1652917180