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Biography

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I'm Josiah Meigs Teaching Professor of Mathematics, having received the Meigs Award in 1997.  I received the Franklin College Outstanding Academic Advising Award for 2012. I received the Lothar Tresp Outstanding Honors Professor Award in 2002 and 2010, as well as the Honoratus Medal in 1992.   I was the 2000 winner of the Award for Distinguished College or University Teaching of Mathematics, Southeast section, presented by the Mathematical Association of America. My research interests are in differential geometry and complex algebraic geometry.

Here is the the text of my talk at the MAA Southeastern Section meeting, March 30, 2001, entitled Tidbits of Geometry Through the Ages, you may download a .pdf file.

[star] I am the Honors adviser for students majoring in Mathematics at The University of Georgia. I also advise Honors freshmen and sophomores majoring in Computer Science, Physics, Physics & Astronomy, and Statistics. If you would like to see how the Honors Program at The University of Georgia has recently garnered national attention, you might try the cover story of the September 16, 1996 issue of U.S. News & World Report, p. 109. (I have a personal stake in this, of course.)

Long ago, I wrote a senior-level mathematics text, Abstract Algebra: A Geometric Approach, published by Prentice Hall (now Pearson) in 1996. You might want to refer to the list of typos and emendations.  Please email me if you find other errors or have any comments or suggestions.

Malcolm Adams and I recently completed the second edition of our linear algebra text, Linear Algebra:A Geometric Approach, published by W.H. Freeman in 2011. Our approach puts greater emphasis on both geometry and proof techniques than most books currently available; somewhat novel is a discussion of the mathematics of computer graphics. As we find out about them, we will be maintaining a list of errata and typos.

My textbook Multivariable Mathematics: Linear Algebra, Multivariable Calculus, and Manifolds was published by J. Wiley & Sons in 2004. The text integrates the linear algebra and calculus material, emphasizing the theme of implicit versus explicit. It includes proofs and all the theory of the calculus without giving short shrift to computations and physical applications. There is, as always, the obligatory list of errata and typos; please email me if you have any comments or have discovered any errors. Click here if you want a list of errata in the solutions manual.

With gracious thanks to Patty Wagner, Eric Lybrand, Cameron Bjorklund, Justin Payan, and Cameron Zahedi, my lectures in Multivariable Mathematics (MATH 3500(H)–MATH 3510(H)) are available, for better or for worse, on YouTube. We are currently recording the first semester (covering through the basics of linear algebra and differential calculus); the second semester (covering integration, manifolds, and eigenvalues) is already posted.

I have written some informal class notes for MATH 4250/6250, Differential Geometry: A First Course in Curves and Surfaces. They are available in .pdf format, and, as usual, comments and suggestions are always welcome. If you're interested in using them as a class text, please contact me beforehand for permission. I have recently revised the notes.