Faculty Research

• Specialized mathematical knowledge for 
  K-12 teacher of mathematics
• Effective professional development for teachers
  of mathematics
• Cirricular design of mathematics courses for
  prospective K-12 mathematics teachers
• Access and equality in mathematics programs
  and classes

• Biomathematics - Mathematical modeling
  and simulations of biological problems
• Cell movements in developmental biology,
  zebrafish gastrulation, angiogenesis of
  the mouse retina
• Cancer stem cells hypothesis
• Dynamics in peritoneal dialysis
• Bioinformatics - Mathematical methods in
  sequence analysis
• Fluid dynamics - Study of multi-phase
  flows, micropolar fluids, porous media,
  blood flow through capillaries

• Applied Statistics
• Sampling
• Regression
• Experimental Design
• Statistical Consulting

• Applied Biostatistics 
• Data Visualization
• Techniques to handle missing & inconsistent
  data
• Computational Statistics, Data Science,
  Big Data
• Organizer of the Chico R Users Group
• Co-Organizer of the Data Science 
  Community of Interest 

• Mathematical modeling of mass
  transport in complex media
• Mathematical modeling of tsunami
  wave dynamics
• Mathematical modeling of non-Newtonian
  films in application to coating technology
  and polymer molding
• Principal investigator of the NSF grant:
  Research Experiences in Mathematics
  for Undergraduates and Teachers (amount
  $270,000, years 2016-2019)

• Research interests focus on applying
  statistical techniques to the design,
  analysis, and interpretation of data
  arising from environmental studies
• Bayesian statistics, analysis of large data
  sets, and randomization methods

• Mathematics Education
• Applied Mathematics
• Physics and Engineering applications
• History of Mathematics
• Recreational Mathematics

• Mathematics Education
• Pre-service School Teacher Development
• Undergraduate Proof Comprehension
• Productive Struggle
• Understanding and destroying the barriers
  facing members of groups who have historically
  underrepresented in mathematics
• Active Learning

• Number Theory
• Automorphic Function Theory

• Mathematics Education
• Pre-service & In-service School Teacher
  Development
• Teacher Experiences as Learner
• Faculty Professional Development
• Classroom Discourse
• Technology in Mathematics Instruction
• PI on CDE MSP grant: (MathTIME)
• Project Director-NGMT under USDOE TQP 
  grant PRISMS

• Knot Theory
• Graph Theory
• Mentoring Research by Undergraduate &
  Master's students 
  Students
• Math of Blues Music
• Odd Sunshades
• Square Knot Dancing

• Number Theory

• Mathematical Biology
• Ecological Modeling
• Stochastic Processes
• Partial Differential Equations
• Dynamical Systimes
• Mathematica

• Mathematical Biology
  • Ecology
  • Infectious disease
  • Pollination biology
  • Agriculture
• The effect of gene-editing therapy in case of HIV,
• The effect of topography on mosquito population and malaria transmission in Western Kenya Highlands
• The disease dynamics in bee colonies.

Vladimir Rosenhaus

• Mathematical Physics
• Nonlinear Partial Differential Equations
• Nonlinear Wave Equations
• Symmetry Lie Algebras
• Conserved Quantities
• Infinite Symmetries
• Infinite Conservation Laws

Edward Roualdes

• Hierarchical Linear Modeling
• Penalized Regression
• Bayesian Statistics
• Ecological Modeling

Krista Strand

• K-8 pre-service teacher's development of
  mathematical knowledge
• Cirriculum and instruction in mathematics
  for K-8 pre-service teachers
• K-8 teacher professional development

Daniel Vallieres

• Number Theory

dvallieres@csuchico.edu