Collaborative Research: Ohio River Analysis Meeting 2017-2019

Overview: The Ohio River Analysis Meeting (ORAM) started in 2011 as a collaborative activity between members of the faculties at the University of Cincinnati (UC) and the University of Kentucky (UK) whose research focuses in analysis, geometric analysis, harmonic analysis, mathematical physics, and partial differential equations. It is held each spring alternately on each campus. The March 2017 meeting will be held in Cincinnati, OH. The goal of the two-day meeting is multi-fold. First, through plenary lectures, the meeting provides a venue for regional mathematicians and mathematics post-docs and graduate students to attend state-of-the-art talks and to confer with leading researchers in analysis and partial differential equations from the Ohio Valley region and beyond. Secondly, through the contributed talks program, the meeting provides a venue for young mathematicians to present their work to a distinguished audience. Thirdly, the meeting fosters cooperation and collaboration between researchers from the Ohio valley region. After six successful ORAMs, the organizers seek continued financial stability in the program through this three-year proposal requesting funding for students and young researchers without other means of support, and for half of the invited lecturers. Intellectual Merit : Analysis and partial differential equations are lively areas of research for many faculty at UC and UK and other Ohio Valley universities. The interests of the faculty and graduate students include harmonic analysis, spectral theory, variational methods, mathematical physics, nonlinear partial differential equations, and geometric analysis. The five invited plenary speakers present hour-long broad-based lectures on the latest developments in their fields. Each meeting also has about twenty contributed talks by young mathematicians. The ORAM program provides mathematicians with common interests at all stages of their careers an intellectually stimulating atmosphere of shared learning and scientific discovery. Broader Impacts : A key component of each ORAM is the education of graduate students and post-doctoral scholars from UC and UK and other Ohio Valley universities. Young mathematicians attend the main talks and many present their work in the parallel sessions of contributed talks. The ORAM organizers strive to attract main speakers of the highest caliber, and to create a supportive and lively atmosphere for mathematical exchange. ORAM actively recruits women and other members of underrepresented groups in mathematics. Overall, female mathematicians comprise approximately 25% of the conference participants.