Chris Goodrich

Dr. Chris Goodrich is a Senior Lecturer at the School of Mathematics and Statistics, UNSW Sydney. He holds a PhD in Mathematics from the University of Nebraska-Lincoln. His research focuses on analytical and theoretical aspects of nonlocal differential equations, fractional calculus, and variational problems, with particular emphasis on operator theory and regularity analysis.

Education:

• PhD Mathematics, University of Nebraska-Lincoln

Research Interests: Dr. Goodrich specializes in nonlocal operators and fractional calculus applied to differential/difference equations. His work investigates existence theory, monotonicity properties, and topological analysis of solutions. Key areas include convolution equations, (p,q)-growth conditions in PDEs, and applications of Sobolev inequalities to Kirchhoff-type problems. He maintains strong collaborations with international researchers in fractional analysis and discrete calculus.

Publications: His recent articles (2023-2025) demonstrate consistent focus on nonlocal operators, fractional differences, and convolution equations. Predominant themes include topological methods for elliptic equations, monotonicity analysis of fractional operators, and existence/nonexistence theorems for Kirchhoff systems. Analytical techniques leverage convexity, variational principles, and asymptotic characterization across both continuous and discrete frameworks.