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Gregory T. Minton

Personal webpage of Gregory Minton

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PAGE TITLE
Gregory T. Minton | gminton.org Reviews
<META>
DESCRIPTION
Personal webpage of Gregory Minton
<META>
KEYWORDS
1 at mit
2 diego
3 my research interests
4 include gravitational choreographies
5 quadratic forms
6 computational number theory
7 and computer assisted proof
8 science fiction
9 and cross country travel
10 my last name
CONTENT
Page content here
KEYWORDS ON
PAGE
at mit,diego,my research interests,include gravitational choreographies,quadratic forms,computational number theory,and computer assisted proof,science fiction,and cross country travel,my last name,digit of e,i am gauss,s academic,great,grandson,research
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Gregory T. Minton | gminton.org Reviews

https://gminton.org

Personal webpage of Gregory Minton

INTERNAL PAGES

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1

Problem Solving

http://www.gminton.org/problems.html

One of my hobbies is swapping competition-type math problems with friends. Here are some of my favorites. Compute the sum over all nonnegative integers k. Recall that, if A and B are commuting matrices over C. Then they have a common eigenvector. Is this still true if [A,B] = AB-BA has rank one? Be a function on R. 8804; 1 for all real x. And all nonnegative k. Show that, if additionally f'(0) = 1. Be a discrete harmonic function on Z. Ie, suppose that at each point f(x). Is the average of f(y).

2

Gravitational Orbits

http://www.gminton.org/gravity.html

This site also has a lighter introduction. To choreographies and an interactive program. Are periodic orbits for n. Equal-mass bodies in which each planet traces out. Interest in choreographies was piqued by the figure-eight orbit. Discovered numerically by Cris Moore. And later proven to exist by Alain Chenciner. Since then many more. Choreographies have been found by Carles Simó. Using the principle of least action. Choreographies can be found by starting with a curve and numerically minimizing. Becaus...

3

choreo.2.3.js

http://www.gminton.org/choreo.html

Choreo.2.3.js. Before experimenting with this, you may wish to refer to an introduction. To choreographies and/or a tutorial. Of the program's use. If everything were working, this would be replaced by a drawing canvas. Perhaps you have JavaScript turned off? 171; Start over. Sketch a curve to use as your starting point. Use the optimizer to search for a n. Tip: If the optimizer seems to be stuck, give it a nudge. Choose a symmetry group. Example with this symmetry:. This page contains an HTML5. Also, be...

4

Mathematical Genealogy

http://www.gminton.org/gen.html

Data from The Mathematics Genealogy Project. A name I call myself.

5

Gregory T. Minton

http://www.gminton.org/index.html

Gregory T. Minton. In 2013 I graduated from the math department. Where my advisor was Abhinav Kumar. I then held a post-doc. At Microsoft Research New England. Now I live in sunny. My non-academic interests include racq. Appears at the 306749736. A name I call myself.

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benkraft.org benkraft.org

Math | Ben Kraft

http://www.benkraft.org/math

Below is a partial list of the math research I’ve done. Length- (k ) Steenrod Operations. In Summer 2013 I worked on determining the structure of the subalgebras (L(k) ) of the Steenrod Algebra as modules over the subalgebras ( mathcal{A}(r) ), mentored by Mark Behrens. I presented at the 2014 Joint Mathematics Meetings. In Summer 2012 at the University of Minnesota Duluth REU. Was published in Discrete Applied Mathematics. Elements of Random Matrices. And you can see my talk here.

gminton.net gminton.net

Computer-Assisted Proof

http://www.gminton.net/cap.html

Refers to the relatively new concept of using a significant computational component in a rigorous mathematical proof. The Four Color Theorem. Is the breakout example of a result proven with computer assistance; its proof was so controversial (see, e.g., the last chapter in this book. Later completed a project. The proof in painstaking detail. Since then many more problems. Have been resolved using computer proof, including the Kepler conjecture. Existence of the Lorenz attractor. Library with a Python.

gminton.net gminton.net

Problem Solving

http://www.gminton.net/problems.html

One of my hobbies is swapping competition-type math problems with friends. Here are some of my favorites. Compute the sum over all nonnegative integers k. Recall that, if A and B are commuting matrices over C. Then they have a common eigenvector. Is this still true if [A,B] = AB-BA has rank one? Be a function on R. 8804; 1 for all real x. And all nonnegative k. Show that, if additionally f'(0) = 1. Be a discrete harmonic function on Z. Ie, suppose that at each point f(x). Is the average of f(y).

gminton.net gminton.net

Mathematical Genealogy

http://www.gminton.net/gen.html

Data from The Mathematics Genealogy Project. A name I call myself.

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Quadratic Forms

http://www.gminton.net/qforms.html

Much of my early graduate work concerned properties of quadratic forms. I wrote several notes along the way which are linked below. I also took extensive notes on T. Y. Lam. S excellent book Introduction to Quadratic Forms Over Fields. But those are not available online. In addition to the notes here, most of the problems discussed on my computational number theory. Page relate to quadratic forms. Thesis proposal [ pdf. Open problems [ pdf. Effective proof of the Weak Hasse Principle [ pdf. Inner product...

gminton.net gminton.net

choreo.2.3.js

http://www.gminton.net/choreo.html

Choreo.2.3.js. Before experimenting with this, you may wish to refer to an introduction. To choreographies and/or a tutorial. Of the program's use. If everything were working, this would be replaced by a drawing canvas. Perhaps you have JavaScript turned off? 171; Start over. Sketch a curve to use as your starting point. Use the optimizer to search for a n. Tip: If the optimizer seems to be stuck, give it a nudge. Choose a symmetry group. Example with this symmetry:. This page contains an HTML5. Also, be...

gminton.net gminton.net

Programming Projects

http://www.gminton.net/programming.html

This page lists a few of my non-academic. Programming projects. I am generally willing to make source code available under GPLv3. Except when limited by dependency licenses. When giving talks on my gravity. But rolling my own solution was more interesting. In the same presentations I later sketch and manipulate a three-dimensional figure. For the input I use Kinect. Provides the engine for rendering the three-dimensional figures. For instance. Some examples I generated can be seen here.

gminton.net gminton.net

Gregory T. Minton

http://www.gminton.net/index.html

Gregory T. Minton. In 2013 I graduated from the math department. Where my advisor was Abhinav Kumar. I then held a post-doc. At Microsoft Research New England. Now I live in sunny. My non-academic interests include racq. Appears at the 306749736. A name I call myself.

gminton.net gminton.net

Computational Number Theory

http://www.gminton.net/cnt.html

I am fascinated by problems where deep "pure" mathematics has tangible results; computational number theory. Source of such problems. Thanks to modern cryptography. Problems like integer factorization. This page lists a few of my favorite questions in computational number theory. (In this list my interest in quadratic forms. Is readily apparent.). Many cryptographic schemes need large primes. We find them. The most commonly used test. Are known, including one. Which was famously [ pdf. Gives a way to tes...

gminton.net gminton.net

Travel Maps

http://www.gminton.net/travel.html

Base map from the United States Census Bureau. Base map from the National Atlas. Road data is in the form of LineString. Harvested from Google Maps. The airport locations are from the OpenFlights Airports Database. Drawing on a map requires a conversion from geographic coordinates. Maps produced by both the Census Bureau. Such as the two maps above) use the Albers projection. After specifying the two standard parallels. A name I call myself.

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Gregory T. Minton

Gregory T. Minton. In 2013 I graduated from the math department. Where my advisor was Abhinav Kumar. I then held a post-doc. At Microsoft Research New England. Now I live in sunny. My non-academic interests include racq. Appears at the 306749736. A name I call myself.

gminton.org gminton.org

Gregory T. Minton

Gregory T. Minton. In 2013 I graduated from the math department. Where my advisor was Abhinav Kumar. I then held a post-doc. At Microsoft Research New England. Now I live in sunny. My non-academic interests include racq. Appears at the 306749736. A name I call myself.

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