{"id":1292,"date":"2020-12-02T12:17:19","date_gmt":"2020-12-02T17:17:19","guid":{"rendered":"https:\/\/magazine.mcs.cmu.edu\/math\/?page_id=1292"},"modified":"2020-12-14T21:11:06","modified_gmt":"2020-12-15T02:11:06","slug":"research-roundup-2","status":"publish","type":"page","link":"https:\/\/magazine.mcs.cmu.edu\/math\/2020-issue\/research-roundup-2\/","title":{"rendered":"Research Roundup, Pt 2"},"content":{"rendered":"<p>[et_pb_section fb_built=&#8221;1&#8243; admin_label=&#8221;stopthespread&#8221; _builder_version=&#8221;4.5.2&#8243; background_color=&#8221;#00910a&#8221; background_color_gradient_direction=&#8221;290deg&#8221; background_image=&#8221;https:\/\/magazine.mcs.cmu.edu\/math\/wp-content\/uploads\/sites\/2\/2020\/12\/bg_bars_dk-green.png&#8221; parallax=&#8221;on&#8221; parallax_method=&#8221;off&#8221; custom_padding=&#8221;0|0px|0|0px|false|false&#8221; box_shadow_style=&#8221;preset2&#8243; box_shadow_color=&#8221;rgba(0,0,0,0.86)&#8221; locked=&#8221;off&#8221;][et_pb_row _builder_version=&#8221;3.25&#8243; custom_padding=&#8221;3px|0px|0|0px|false|false&#8221;][et_pb_column type=&#8221;4_4&#8243; _builder_version=&#8221;3.14&#8243; custom_padding=&#8221;|||&#8221; custom_padding__hover=&#8221;|||&#8221;][et_pb_image src=&#8221;https:\/\/magazine.mcs.cmu.edu\/math\/wp-content\/uploads\/sites\/2\/2020\/12\/cat_research-roundup_right.png&#8221; alt=&#8221;Research roundup&#8221; title_text=&#8221;Research roundup&#8221; align=&#8221;right&#8221; _builder_version=&#8221;4.5.2&#8243; _module_preset=&#8221;default&#8221; filter_saturate=&#8221;92%&#8221; filter_brightness=&#8221;200%&#8221; filter_contrast=&#8221;106%&#8221;][\/et_pb_image][\/et_pb_column][\/et_pb_row][et_pb_row column_structure=&#8221;1_2,1_2&#8243; _builder_version=&#8221;4.5.2&#8243; background_enable_color=&#8221;off&#8221; custom_padding=&#8221;9px||29px|||&#8221;][et_pb_column type=&#8221;1_2&#8243; _builder_version=&#8221;3.14&#8243; custom_padding=&#8221;|||&#8221; custom_padding__hover=&#8221;|||&#8221;][et_pb_text _builder_version=&#8221;4.5.2&#8243; text_text_color=&#8221;#fff&#8221; header_font=&#8221;|700|||||||&#8221; header_text_color=&#8221;#ffffff&#8221; header_font_size=&#8221;35px&#8221; header_2_font=&#8221;|600|||||||&#8221; header_2_text_color=&#8221;#ffffff&#8221; header_2_line_height=&#8221;1.2em&#8221; inline_fonts=&#8221;Times New Roman&#8221;]<\/p>\n<h1>A Proliferation of Summer Undergraduate Research<\/h1>\n<p>Summertime in Pittsburgh traditionally ushers in a flurry of out-of-class activities for students at Carnegie Mellon University. Many of them disperse, traveling home, studying abroad, or for some mathematics undergraduates, interning in the finance industry on Wall Street. But, this year, as the global coronavirus pandemic brought the world to a screeching halt, many students found that their summer programs had been canceled. However, in true Tartan spirit, they were eager to have the productive summer they had been planning. Answering this call, the Department of Mathematical Sciences curated a brand new summer program: Summer Experience in Mathematical Sciences (SEMS).<\/p>\n<p>The SEMS program is an exciting new addition to the Carnegie Mellon menu of undergraduate summer programs in which math students can participate. These include the Summer Undergraduate Research Fellowship (SURF), Summer Undergraduate Applied Mathematics Institute (SUAMI) and Mathematical Finance Summer Undergraduate Research Program (MFSURP). Similar to SUAMI and MFSURP, SEMS is a math-only experience, administered by the Department of Mathematical Sciences. Even more, SEMS is not strictly a research-based program. It also includes in-depth reading groups and weekly seminars, which students can participate in alongside their projects. The variety of experiences afforded students who were expecting to have internships in areas like math finance and software engineering the opportunity to stay engaged in mathematics over the summer. Many of the participants described it to be a meaningful and enjoyable way to spend their time.<\/p>\n<p>\u201cI applied to the research program because I really wanted to see how math research is conducted, and what questions people think are interesting,\u201d said mathematical sciences major Xinjie He. He continued, \u201cI was also introduced to a new area and frontier questions in math, and some advanced techniques that I may not be able to learn in classes.\u201d<\/p>\n<p>In line with departmental goals, the research projects were intellectually diverse and included both applications of mathematics and pure mathematics research. While some students were concerned with gaining research experience for potential careers in academia, others were greatly invested in industry-related topics.<\/p>\n<p>\u201cI\u2019ve had the good fortune to work with Professor [Hayden} Schaeffer, whose guidance has been critical in figuring out my career path, as the research I\u2019ve done with him always involved practical applications of math and bits of machine learning. It\u2019s largely due to my research with Professor Schaeffer that I feel like I know what it means to be an applied math major,\u201d said student Hannah Milano.<\/p>\n<p>[\/et_pb_text][et_pb_text _builder_version=&#8221;4.5.2&#8243; _module_preset=&#8221;default&#8221; header_font=&#8221;Times New Roman|700|on||||||&#8221; header_text_color=&#8221;#005f37&#8243; header_3_font=&#8221;Times New Roman|700|||||||&#8221; header_3_text_align=&#8221;right&#8221; header_3_text_color=&#8221;#005f37&#8243; header_3_font_size=&#8221;17px&#8221; custom_margin=&#8221;||10px|||&#8221; header_text_shadow_style=&#8221;preset5&#8243; header_text_shadow_color=&#8221;rgba(255,255,255,0.18)&#8221; header_3_text_shadow_style=&#8221;preset2&#8243; header_3_text_shadow_color=&#8221;rgba(255,255,255,0.34)&#8221;]<\/p>\n<h1>\u201cIt\u2019s always a pleasure to watch my students grow as researchers over the course of the summer program. Getting to continue this tradition during the chaos of the pandemic was a much needed morale booster for me.\u201d<\/h1>\n<h3>&#8211; Ian Tice<\/h3>\n<p>[\/et_pb_text][et_pb_text _builder_version=&#8221;4.5.2&#8243; _module_preset=&#8221;default&#8221; text_text_color=&#8221;#ffffff&#8221;]<\/p>\n<p>Participants also found SEMS to lay insightful groundwork for more rigorous research.<\/p>\n<p>\u201cI&#8217;m glad I did the program because I used to be really intimidated by math research, but now it seems more approachable, and I feel like I know a little bit more about what I can expect I will be doing when I do research for my master&#8217;s thesis,\u201d junior Carolyn Lee said.<\/p>\n<p>Though the summer of 2020 brought about many changes in procedure for Carnegie Mellon, the Department of Mathematical Sciences found a way to use it to provide more opportunity for our undergraduates. We are looking forward to resuming on-campus research and study when conditions allow.<\/p>\n<p style=\"text-align: right;\"><em>\u25a0 Colleen Storm<\/em><\/p>\n<p>[\/et_pb_text][et_pb_button button_url=&#8221;https:\/\/www.cmu.edu\/math\/undergrad\/student-activities.html&#8221; url_new_window=&#8221;on&#8221; button_text=&#8221;Find out more on student activities on the Mathematical Science&#8217;s website&#8221; button_alignment=&#8221;right&#8221; _builder_version=&#8221;4.5.2&#8243; _module_preset=&#8221;default&#8221; custom_button=&#8221;on&#8221; button_text_size=&#8221;13px&#8221; button_text_color=&#8221;#e0e0e0&#8243; button_bg_color=&#8221;#fe4a53&#8243; button_border_width=&#8221;0px&#8221; button_border_radius=&#8221;0px&#8221; button_font=&#8221;|700|||||||&#8221; box_shadow_style=&#8221;preset4&#8243;][\/et_pb_button][\/et_pb_column][et_pb_column type=&#8221;1_2&#8243; _builder_version=&#8221;3.14&#8243; custom_padding=&#8221;|||&#8221; custom_padding__hover=&#8221;|||&#8221;][et_pb_image src=&#8221;https:\/\/magazine.mcs.cmu.edu\/math\/wp-content\/uploads\/sites\/2\/2020\/12\/rr_SURF-li-self3.png&#8221; alt=&#8221;Image from the SURF project of Yidan Hu&#8221; title_text=&#8221;Image from the SURF project of Yidan Hu&#8221; _builder_version=&#8221;4.5.2&#8243; _module_preset=&#8221;default&#8221;][\/et_pb_image][et_pb_text _builder_version=&#8221;4.5.2&#8243; _module_preset=&#8221;default&#8221; text_font=&#8221;|700|on||||||&#8221; text_text_color=&#8221;#e0e0e0&#8243; text_font_size=&#8221;11px&#8221; custom_margin=&#8221;-19px||||false|false&#8221;]<\/p>\n<p style=\"text-align: center;\">Figure 1: Image from the SURF project of Yidan Hu<\/p>\n<p>[\/et_pb_text][et_pb_image src=&#8221;https:\/\/magazine.mcs.cmu.edu\/math\/wp-content\/uploads\/sites\/2\/2020\/12\/rr_SURF-bernshteyn.png&#8221; alt=&#8221;Image from the SURF project of Eugene Lee&#8221; title_text=&#8221;Image from the SURF project of Eugene Lee&#8221; _builder_version=&#8221;4.5.2&#8243; _module_preset=&#8221;default&#8221;][\/et_pb_image][et_pb_text _builder_version=&#8221;4.5.2&#8243; _module_preset=&#8221;default&#8221; text_font=&#8221;|700|on||||||&#8221; text_text_color=&#8221;#e0e0e0&#8243; text_font_size=&#8221;11px&#8221; custom_margin=&#8221;-24px||||false|false&#8221;]<\/p>\n<p style=\"text-align: center;\">Figure 2: Image from the SURF project of Eugene Lee<\/p>\n<p>[\/et_pb_text][et_pb_image src=&#8221;https:\/\/magazine.mcs.cmu.edu\/math\/wp-content\/uploads\/sites\/2\/2020\/12\/rr_SURF-schaeffer-sparse2.png&#8221; alt=&#8221;Image from the SURF project of Venessa Jiang and Ben Yuan&#8221; title_text=&#8221;Image from the SURF project of Venessa Jiang and Ben Yuan&#8221; _builder_version=&#8221;4.5.2&#8243; _module_preset=&#8221;default&#8221;][\/et_pb_image][et_pb_text _builder_version=&#8221;4.5.2&#8243; _module_preset=&#8221;default&#8221; text_font=&#8221;|700|on||||||&#8221; text_text_color=&#8221;#e0e0e0&#8243; text_font_size=&#8221;11px&#8221; custom_margin=&#8221;-41px||||false|false&#8221;]<\/p>\n<p style=\"text-align: center;\">Figure 3: Image from the SURF project of Venessa Jiang and Ben Yuan<\/p>\n<p>[\/et_pb_text][et_pb_image src=&#8221;https:\/\/magazine.mcs.cmu.edu\/math\/wp-content\/uploads\/sites\/2\/2020\/12\/rr_SURF-Ireland.png&#8221; alt=&#8221;Image from the SURF project of Chloe Ireland&#8221; title_text=&#8221;Image from the SURF project of Chloe Ireland&#8221; _builder_version=&#8221;4.5.2&#8243; _module_preset=&#8221;default&#8221;][\/et_pb_image][et_pb_text _builder_version=&#8221;4.5.2&#8243; _module_preset=&#8221;default&#8221; text_font=&#8221;|700|on||||||&#8221; text_text_color=&#8221;#e0e0e0&#8243; text_font_size=&#8221;11px&#8221; custom_margin=&#8221;-43px||||false|false&#8221;]<\/p>\n<p style=\"text-align: center;\">Figure 4: Image from the SURF project of Chloe Ireland<\/p>\n<p>[\/et_pb_text][et_pb_image src=&#8221;https:\/\/magazine.mcs.cmu.edu\/math\/wp-content\/uploads\/sites\/2\/2020\/12\/rr_surf-01.png&#8221; alt=&#8221;Image from the SURF project of Minsung Cho&#8221; title_text=&#8221;Image from the SURF project of Minsung Cho&#8221; _builder_version=&#8221;4.5.2&#8243; _module_preset=&#8221;default&#8221; filter_brightness=&#8221;200%&#8221;][\/et_pb_image][et_pb_text _builder_version=&#8221;4.5.2&#8243; _module_preset=&#8221;default&#8221; text_font=&#8221;|700|on||||||&#8221; text_text_color=&#8221;#e0e0e0&#8243; text_font_size=&#8221;11px&#8221;]<\/p>\n<p style=\"text-align: center;\">Figure 5: Image from the SURF project of Minsung Cho<\/p>\n<p>[\/et_pb_text][et_pb_image src=&#8221;https:\/\/magazine.mcs.cmu.edu\/math\/wp-content\/uploads\/sites\/2\/2020\/12\/rr_surf-02.png&#8221; alt=&#8221;Image from the SURF project of Shanjiawen Zhao, Kevin Zhou and Vinod Krishnamoorthy&#8221; title_text=&#8221;Image from the SURF project of Shanjiawen Zhao, Kevin Zhou and Vinod Krishnamoorthy&#8221; _builder_version=&#8221;4.5.2&#8243; _module_preset=&#8221;default&#8221; filter_brightness=&#8221;88%&#8221; filter_contrast=&#8221;75%&#8221;][\/et_pb_image][et_pb_text _builder_version=&#8221;4.5.2&#8243; _module_preset=&#8221;default&#8221; text_font=&#8221;|700|on||||||&#8221; text_text_color=&#8221;#e0e0e0&#8243; text_font_size=&#8221;11px&#8221;]<\/p>\n<p style=\"text-align: center;\">Figure 6: Image from the SURF project of Shanjiawen Zhao, Kevin Zhou and Vinod Krishnamoorthy<\/p>\n<p>[\/et_pb_text][et_pb_image src=&#8221;https:\/\/magazine.mcs.cmu.edu\/math\/wp-content\/uploads\/sites\/2\/2020\/12\/rr_SURF-tice.png&#8221; alt=&#8221;Image from the SURF project of Jonathan Jenkins, Carolyn Lee, Yuxuan Liu, Ethan Lu and Desmond Reed&#8221; title_text=&#8221;Image from the SURF project of Jonathan Jenkins, Carolyn Lee, Yuxuan Liu, Ethan Lu and Desmond Reed&#8221; _builder_version=&#8221;4.5.2&#8243; _module_preset=&#8221;default&#8221;][\/et_pb_image][et_pb_text _builder_version=&#8221;4.5.2&#8243; _module_preset=&#8221;default&#8221; text_font=&#8221;|700|on||||||&#8221; text_text_color=&#8221;#e0e0e0&#8243; text_font_size=&#8221;11px&#8221;]<\/p>\n<p style=\"text-align: center;\">Figure 7: Image from the SURF project of Jonathan Jenkins, Carolyn Lee, Yuxuan Liu, Ethan Lu and Desmond Reed<\/p>\n<p>[\/et_pb_text][\/et_pb_column][\/et_pb_row][\/et_pb_section][et_pb_section fb_built=&#8221;1&#8243; module_id=&#8221;andreev&#8221; _builder_version=&#8221;4.5.2&#8243; _module_preset=&#8221;default&#8221; use_background_color_gradient=&#8221;on&#8221; background_color_gradient_start=&#8221;rgba(0,104,127,0.03)&#8221; background_color_gradient_end=&#8221;rgba(0,104,127,0.34)&#8221; background_image=&#8221;https:\/\/magazine.mcs.cmu.edu\/math\/wp-content\/uploads\/sites\/2\/2020\/12\/bg_bars_gray.png&#8221; parallax=&#8221;on&#8221; parallax_method=&#8221;off&#8221; hover_enabled=&#8221;0&#8243; title_text=&#8221;bg_bars_gray&#8221;][et_pb_row column_structure=&#8221;1_2,1_2&#8243; _builder_version=&#8221;4.5.2&#8243; _module_preset=&#8221;default&#8221;][et_pb_column type=&#8221;1_2&#8243; _builder_version=&#8221;4.5.2&#8243; _module_preset=&#8221;default&#8221;][et_pb_text _builder_version=&#8221;4.5.2&#8243; _module_preset=&#8221;default&#8221; header_font=&#8221;|700|||||||&#8221;]<\/p>\n<h1>Andreev Memorial Endowed SURF<\/h1>\n<p>Elizabeth and Konstantin Andreev are lifelong math lovers. In fact, as a high school student Konstantin attended a math-focused school in Sofia, Bulgaria, with the full support of his father. Later, in 2002, Elizabeth and Konstantin met at Carnegie Mellon while enrolled in mathematics degree programs. Elizabeth was an undergraduate in the department, and Konstantin was a Ph.D. student in Algorithms, Combinatorics and Optimization.<\/p>\n<p>Their commitment to mathematics has served as a tether to the academic world, which they departed from after graduation. Always interested in the goings-on of the Department of Mathematical Sciences, the Andreevs make a point to stay informed about the stellar accomplishments of the faculty and students. Specifically, they find student performance in renowned mathematics competitions highly impressive. Our Summer Undergraduate Research Fellowship (SURF) is no exception to their attention. Year after year, the SURF program churns out serious and competitive undergraduate research in mathematics, which is exciting for both the Andreevs and the department.<\/p>\n<p>[\/et_pb_text][\/et_pb_column][et_pb_column type=&#8221;1_2&#8243; _builder_version=&#8221;4.5.2&#8243; _module_preset=&#8221;default&#8221;][et_pb_text _builder_version=&#8221;4.5.2&#8243; _module_preset=&#8221;default&#8221;]<\/p>\n<p>\u00a0\u201cIn 2016, we were looking to make a more meaningful gift to an organization, and Carnegie Mellon was a top contender from the beginning, due to our engagement with the department and our ability to be involved in how the contribution would be used,\u201d Elizabeth said.<\/p>\n<p>The SURF program offered up a lot of potential for this contribution. As previous students, the Andreevs understand the benefit of such a unique, research-based program for budding mathematicians.<\/p>\n<p>\u201cKonstantin in particular, having done a Ph.D., feels it\u2019s very valuable for undergrads to have a testing ground for how research works,\u201d Elizabeth said.<\/p>\n<p>Every summer, the Andreev Memorial SURF endowment will provide a stipend of $3,500 for a student pursuing summer research in mathematics. Eugene Lee was the inaugural recipient of the award; he completed a research project entitled, \u201cThe Invisible Search Game\u201d under the direction of Anton Bernshteyn. The Andreevs made this endowed gift in memory of Konstantin\u2019s father, Andrei, who was a researcher at the Bulgarian Academy of Sciences.<\/p>\n<p>[\/et_pb_text][\/et_pb_column][\/et_pb_row][\/et_pb_section][et_pb_section fb_built=&#8221;1&#8243; module_id=&#8221;summerprojects&#8221; _builder_version=&#8221;4.5.2&#8243; _module_preset=&#8221;default&#8221; use_background_color_gradient=&#8221;on&#8221; background_color_gradient_start=&#8221;#ffffff&#8221; background_color_gradient_end=&#8221;rgba(75,140,67,0.3)&#8221; background_color_gradient_direction=&#8221;1deg&#8221; background_image=&#8221;https:\/\/magazine.mcs.cmu.edu\/math\/wp-content\/uploads\/sites\/2\/2020\/12\/bg_bars_green.png&#8221; parallax=&#8221;on&#8221; parallax_method=&#8221;off&#8221; box_shadow_style=&#8221;preset6&#8243;][et_pb_row column_structure=&#8221;1_3,1_3,1_3&#8243; _builder_version=&#8221;4.5.2&#8243; _module_preset=&#8221;default&#8221; custom_padding=&#8221;1px|||||&#8221;][et_pb_column type=&#8221;1_3&#8243; _builder_version=&#8221;4.5.2&#8243; _module_preset=&#8221;default&#8221;][et_pb_text _builder_version=&#8221;4.5.2&#8243; _module_preset=&#8221;default&#8221; header_font_size=&#8221;32px&#8221;]<\/p>\n<h1><strong>Summer 2020 Undergraduate Research Projects<\/strong><\/h1>\n<p><strong><\/strong><\/p>\n<h3><strong>SURF Projects<\/strong><\/h3>\n<p>Neil Chen, Daria Mashanova, Hannah Milano and Mukund Subramaniam<br \/> <strong><em>Neural Network Based Model Approximation for Discovering Dynamical Systems<br \/> <\/em><\/strong><em>Advisor: Hayden Schaeffer<\/em><\/p>\n<p>Zhijie Chen<br \/> <strong><em>Numerical Scheme for Allen-Cahn Equation and its Energy Stability<br \/> <\/em><\/strong><em>Advisor: Franziska Weber<\/em><\/p>\n<p>Minsung Cho<br \/> <strong><em>Weakly Cop Win Infinite Graphs<br \/> <\/em><\/strong><em>Advisor: David Offner<\/em><\/p>\n<p>Yidan Hu<br \/> <strong><em>Self-Avoiding Property of Multi-Dimensional Gaussian Processes<br \/> <\/em><\/strong><em>Advisor: Jiawei Li<\/em><\/p>\n<p>Chloe Ireland<br \/> <strong><em>Improving the Ramsey Bounds on Berge-K3 Hypergraphs<br \/> <\/em><\/strong><em>Advisor: Tom Bohman<\/em><\/p>\n<p>Jonathan Jenkins, Carolyn Lee, Yuxuan Liu, Ethan Lu and Desmond Reed<br \/> <strong><em>Surfactant Dynamics from the Arnold Perspective<br \/> <\/em><\/strong><em>Advisor: Ian Tice<\/em><\/p>\n<p>Eugene Lee<br \/> <strong><em>An Invisible Search Game<br \/> <\/em><\/strong><em>Advisor: Anton Bernshteyn<\/em><\/p>\n<p>Alexander Lum-Havrilla<br \/> <strong><em>Khinchin-Type Inequalities<br \/> <\/em><\/strong><em>Advisor: Tomasz Tkocz<\/em><\/p>\n<p>Anrey Peng<br \/> <strong><em>Nonlinear Cantilever Limit Cycle Oscillations<br \/> <\/em><\/strong><em>Advisor: Jason Howell<\/em><\/p>\n<p>[\/et_pb_text][\/et_pb_column][et_pb_column type=&#8221;1_3&#8243; _builder_version=&#8221;4.5.2&#8243; _module_preset=&#8221;default&#8221;][et_pb_text _builder_version=&#8221;4.5.2&#8243; _module_preset=&#8221;default&#8221; custom_margin_tablet=&#8221;-39px||||false|false&#8221; custom_margin_phone=&#8221;&#8221; custom_margin_last_edited=&#8221;on|phone&#8221;]<\/p>\n<p>Fei Peng<br \/> <strong><em>Lonely Runners and Coprime Mappings<br \/> <\/em><\/strong><em>Advisor: Tom Bohman<\/em><\/p>\n<p>Noah Stevenson<strong><em><br \/> <\/em><\/strong><strong><em>Traveling Wave Solutions to the Multilayer Free Boundary Incompressible Navier-Stokes Equations<br \/> <\/em><\/strong><em>Advisor: Ian Tice<\/em><\/p>\n<p>Zimu Xiang<br \/> <strong><em>Upper Bound of the Expectation of the Longest Common Sequence for a Large Alphabet<br \/> <\/em><\/strong><em>Advisor: Boris Bukh<\/em><\/p>\n<p>Zhuqing Yang<br \/> <strong><em>Particle Filtering Method and its Application in Heat Diffusion Problem<br \/> <\/em><\/strong><em>Advisor: Yu Gu<\/em><\/p>\n<p>Shanjiawen Zhao, Kevin Zhou and Vinod Krishnamoorthy<br \/> <strong><em>On Log-Rank Conjecture for AND Functions<br \/> <\/em><\/strong><em>Advisor: Kaave Hosseini<\/em><\/p>\n<p>Alexander Zheng<br \/> <strong><em>Entropy-Regularized Time-Discrete Optimal Transport Paths with Multimarginal Constraints<br \/> <\/em><\/strong><em>Advisor: Robert Pego<\/em><\/p>\n<p>Hongyi Zhou<br \/> <strong><em>Coarsening Regularity of Integer Partitions<br \/> <\/em><\/strong><em>Advisor: Boris Bukh<\/em><\/p>\n<p><em><\/em><\/p>\n<p>[\/et_pb_text][\/et_pb_column][et_pb_column type=&#8221;1_3&#8243; _builder_version=&#8221;4.5.2&#8243; _module_preset=&#8221;default&#8221;][et_pb_text _builder_version=&#8221;4.5.2&#8243; _module_preset=&#8221;default&#8221;]<\/p>\n<h3><strong>SEMS Projects<\/strong><\/h3>\n<p>Neil Chen, Daria Mashanova, Hannah Milano and Mukund Subramaniam<br \/> <strong><em>Neural Network Based Model Approximation for Discovering Dynamical Systems<br \/> <\/em><\/strong><em>Advisor: Hayden Schaeffer<\/em><\/p>\n<p>Yun Cheng, Albert Xu and Yixue Liu<br \/> <strong><em>Combinatorial Structures with Gaussian Weights<br \/> <\/em><\/strong><em>Advisor: Tomasz Tkocz<\/em><\/p>\n<p>Ari Fiorino, Eric Li, Justin Sun and Xiao Liu<br \/> <strong><em>Detecting Sumsets<br \/> <\/em><\/strong><em>Advisor: Kaave Hosseini<\/em><\/p>\n<p>Vanessa Jiang and Ben Yuan<br \/> <strong><em>Sparse Approximation of High-Dimensional Functions and its Application to Learning Governing Equations<br \/> <\/em><\/strong><em>Advisor: Hayden Schaeffer<\/em><\/p>\n<p>Tudor-Dimitrie Popescu, Xinjie He and Ling Hu<br \/> <strong><em>Structure of Complement of Sum-Free Sets<br \/> <\/em><\/strong><em>Advisor: Kaave Hosseini<\/em><\/p>\n<p>Shanjiawen Zhao, Kevin Zhou and Vinod Krishnamoorthy<br \/> <strong><em>On Log-Rank Conjecture for AND Functions<br \/> <\/em><\/strong><em>Advisor: Kaave Hosseini<\/em><\/p>\n<h4><strong>Meeting of the minds Poster Competition<\/strong><\/h4>\n<p><strong>Grand Prize Winner<\/strong><\/p>\n<p>Fei Peng<br \/> <em>What Can You Draw?<\/em><\/p>\n<p><strong>Runners Up<\/strong><\/p>\n<p>Max Aires<br \/> <em>On the Number of Edges in a Maximally Linkless Graph<\/em><\/p>\n<p>Philip Lamkin<br \/> <em>Log-Convexity of Moments of Averages<\/em><\/p>\n<p>Noah Stevenson<br \/> <em>Characterizations of Screened Sobolev Spaces<\/em><\/p>\n<p>[\/et_pb_text][\/et_pb_column][\/et_pb_row][\/et_pb_section][et_pb_section fb_built=&#8221;1&#8243; 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Many of them disperse, traveling home, studying abroad, or for some mathematics undergraduates, interning in the finance industry on Wall Street. But, this year, as the global coronavirus pandemic brought the world [&hellip;]<\/p>\n","protected":false},"author":4,"featured_media":0,"parent":1156,"menu_order":0,"comment_status":"closed","ping_status":"closed","template":"","meta":{"_et_pb_use_builder":"on","_et_pb_old_content":"","_et_gb_content_width":"","footnotes":""},"class_list":["post-1292","page","type-page","status-publish","hentry"],"jetpack_sharing_enabled":true,"_links":{"self":[{"href":"https:\/\/magazine.mcs.cmu.edu\/math\/wp-json\/wp\/v2\/pages\/1292","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/magazine.mcs.cmu.edu\/math\/wp-json\/wp\/v2\/pages"}],"about":[{"href":"https:\/\/magazine.mcs.cmu.edu\/math\/wp-json\/wp\/v2\/types\/page"}],"author":[{"embeddable":true,"href":"https:\/\/magazine.mcs.cmu.edu\/math\/wp-json\/wp\/v2\/users\/4"}],"replies":[{"embeddable":true,"href":"https:\/\/magazine.mcs.cmu.edu\/math\/wp-json\/wp\/v2\/comments?post=1292"}],"version-history":[{"count":35,"href":"https:\/\/magazine.mcs.cmu.edu\/math\/wp-json\/wp\/v2\/pages\/1292\/revisions"}],"predecessor-version":[{"id":1654,"href":"https:\/\/magazine.mcs.cmu.edu\/math\/wp-json\/wp\/v2\/pages\/1292\/revisions\/1654"}],"up":[{"embeddable":true,"href":"https:\/\/magazine.mcs.cmu.edu\/math\/wp-json\/wp\/v2\/pages\/1156"}],"wp:attachment":[{"href":"https:\/\/magazine.mcs.cmu.edu\/math\/wp-json\/wp\/v2\/media?parent=1292"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}