David Weinberg's Home Page

Associate Professor of Mathematics
Department of Mathematics and Statistics
Texas Tech University
Lubbock, Texas 79409-1042

david.weinberg@ttu.edu       office phone (806) 834-7958


Interests     Mathematics, piano, basketball

Mathematics - My research area is real algebraic geometry.  At the start of my career I did research in classical harmonic analysis (also called Fourier analysis).  In my career, I have taught more than 40 different courses (courses taught).

Nick Willis and I did some work on the classification of individual types of singular points of algebraic curves of degrees 4, 5, and 6.  The definition of the equivalence relation is in our papers.  (The classification of singular points of curves of degree 4 is originally due to D.A. Gudkov (1966), the classification of singular points of real irreducible curves of degree 5 is due to Golubina and Tai (1978), while the classification for complex curves appears in a paper by A. Degtyarev.)  My work with Nick Willis is essentially based on the idea of puiseux expansions, so our proofs are as elementary as possible.  We used Maple to carry out the symbolic computation of puiseux series.  Here is a link to some Maple files for these calculations.

Piano - I am a classical pianist.  I enjoy working on everything from Bach to Sorabji.  Recent repertoire has included works by Bach, Haydn, Medtner, Scriabin, Albeniz, Sorabji, Wuorinen, Schubert, Bridge, Chopin, and Beethoven.  I have participated in the last five International Keyboard Institutes and Festivals at Mannes College of Music in New York City. 

Since 2003, my teacher has been Nina Lelchuk (Cliffside Park, NJ and Queen's College - Aaron Copland School of Music, NY, NY).

 I have performed in Master Classes for Jerome Rose, Jeffrey Swann, Nina Lelchuk, Mykola Suk, Vladimir Shakin, Irina Morozova, Pedro Carbone, Mordecai Shehori, Eduard Zilberkant, Steven Mayer, Jose Ramos Santana, Dmitri Rachmanov, Pavlina Dokovska, Yuan Sheng, Jay Gottlieb, and Emanuel Krasovsky.

I have received coaching from Michael Habermann, William Westney, Kathleen Supove, Joyce Barnett, Harold Berlinger, David Anderson, and Chip Brimhall.

Here is a link to the International Keyboard Institute and Festival at Mannes College of Music in New York City.