Charles Neal Delzell

Charles Neal Delzell is a Professor in the Department of Mathematics at Louisiana State University (LSU). He holds a B.A. (magna cum laude) from Vanderbilt University (1974) and M.S. and Ph.D. degrees from Stanford University (1980), with a dissertation on Hilbert's 17th problem and semi-algebraic geometry under G. Brumfiel. His research focuses on real algebraic geometry, sums of squares, ordered fields, and mathematical logic. He has authored/co-authored influential works, including Positive Polynomials: From Hilbert's 17th Problem to Real Algebraic Geometry (2001) and contributed to volumes like Real Algebraic Geometry and Ordered Structures (2000). Delzell has served LSU extensively, including roles in the LSU Faculty Senate (1997-2011) and as Math Department Associate Chair (2011-2013). His teaching includes advanced courses like Mathematical Logic and Model Theory (Spring 2012), as well as foundational courses like College Algebra.

His research spans foundational problems in algebraic geometry, with notable contributions to Hilbert's 17th problem and the Pierce-Birkhoff conjecture. His work bridges algebra, logic, and geometry, emphasizing constructive solutions and applications. His publications reflect interdisciplinary interests in ordered fields, semialgebraic sets, and formal power series. Collaborations include co-authorship with James Madden and Alexander Prestel. Grants and awards are not explicitly listed, though his sustained academic contributions highlight institutional recognition.