Advanced Math/Expert Profile

Expertise

I can answer all questions up to, and including, graduate level mathematics. I am more likely to prefer questions beyond the level of calculus. I can answer any questions, from basic elementary number theory like how to prove the first three digits of powers of 2 repeat (they do, with period 100, starting at 8), all the way to advanced mathematics like proving Egorov's theorem or finding phase transitions in random networks.

Experience in the area

I am a PhD educated mathematician working in research at a major university.

Organizations

AMS

Publications

Various research journals of mathematics. Various talks & presentations (some short, some long), about either interesting classical material or about research work.

Education/Credentials

BA mathematics & physics, PhD mathematics from a top 20 US school.

Awards and Honors

Various honors related to grades, various fellowships & scholarships, awards for contributions to mathematics and education at my schools, etc.

Past/Present Clients

In the past, and as my career progresses, I have worked and continue to work as an educator and mentor to students of varying age levels, skill levels, and educational levels.

What do you like about this subject?

Mathematics is an intricate and subtle field of inquiry. It has flavor and context that mirrors mathematicians, society, and the world around us - both in the subject, and in the meta-mathematical sense. I am intrigued by mathematics, and by the study of mathematics. Opportunities for learning, discovering, and understanding are everpresent in mathematics, and are incredibly rewarding.

What do you still hope to achieve/learn in this field?

Anything is possible! Well, perhaps not, but mathematics is growing now faster than it ever has. It is an incredible and wonderful time for mathematics, more than any other in history - despite a fast-paced research environment, high-strung sections of the research corps, economic danger, political pressure on academics, and many other degenerating factors (unfortunately, I could go on and on...)

Something interesting about this subject that others may not know:

Mathematics beyond calculus is really not just harder equations or more complicated problems of the same type. Advanced mathematics studies a wide range of mathematical concepts, most of which are not like calculus (and the ones that are like calculus are not much like calculus as taught in high school / undergrad).

Something controversial or provocative about this subject

Unfortunately, much controversy in mathematics has to do with the poor elementary education students receive in so many areas. There is a painful lack of funding, most painful when cut because someone decided math is useless or unnecessary (e.g. recent cuts in Australia). Mathematics has paved the way - unequivocally - for most (dare I say, all) scientific progress in the last 2000 years!