2020级 博士

刘一辰

伊利诺斯大学香槟分校 数学

“转学/PhD申请规划“大师””

  • IELRS

    0.0

  • GPA

    4

  • GMAT

    0

    • 10+

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    • 0

      视频

    • 3

      文书

    • 2

      科研

    • 3

      服务

    录取情况

    • 申请学校数量:10+
    • 录取方式:
    • 同时录取:
      UIUC、UCSD、Stony Brook
    • 被拒学校:
      Harvard、MIT、Princeton、Chicago、Stanford、UCB、UCLA、Columbia

    就读信息

    • 高中学校:
    • 本科院校: University of Michigan
    • 本科专业: Mathematics(Honors)

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    TA的文书/科研实习

    • 科研活动REU

    • 科研活动Gluing Tetrahedra

    • PS/SOPStatement of Purpose(Math Ph.D)

      (For my privacy, I replaced the name of professors by capital letters.) When I began my career as an undergraduate, I had little idea of where I was heading. I decided to join the mathematics department due to my long-standing interest and strength in mathematics. As I have explored new research avenues and advanced my studies, I have become increasingly determined to continue studying math and stay in academia. Therefore, I have decided to apply for the graduate program at the University of Illinois to pursue a Ph.D in mathematics. I am very interested in geometry, especially symplectic geometry, but I am also open to embracing other possibilities like analysis, since I do not want to eliminate other potential options too early. Geometry captured my interest in the first year I transferred to the University of Michigan. I enjoyed taking a sequence of undergraduate analysis classes which introduced me to the study of differentiable manifolds. In my second year, I took a graduate-level differential geometry course with Professor U and was really fascinated by the beautiful theories. Therefore, I asked him for a chance to do an REU and he opened the door to symplectic geometry for me. The goal of my project was to give an estimate about the Hofer-Zehnder capacity of symplectic toric manifolds, which is a topological invariant that can help answer embedding problems in symplectic geometry. In the end, I successfully estimated a lower bound in all dimensions and discovered that the bound is sharp when the manifold is Fano. This exciting experience gave me great confidence that I am indeed capable of conducting rigorous research in math. I also learned to appreciate the intrinsic beauty of mathematics, beyond simply a sense of achievement after solving a hard problem. It is the endless theories and knowledge that motivate me and keep me enthusiastic about math. Undoubtedly, to pursue a Ph.D is challenging. However, I am quite confident that I make a strong candidate for this program. My solid background and passion for mathematics, diverse research and teaching experiences, and qualities of resilience and perseverance have prepared me well for the graduate program. I have a solid background and broad knowledge in mathematics. Bey
    • PS/SOPDiversity Statement(My experience and thoughts about underrepresented groups)

      When I began my career as an undergraduate at Beihang University, I decided to join the mathematics department due to my long-standing interest and strength in mathematics. In my two years at Beihang University, I became increasingly interested in math and started to have the idea of staying in academia for the rest of my life. However, Beihang University is highly specialized in engineering and other applied pursuits, so in order to receive better academic training in pure math, I decided to transfer to the University of Michigan. Though I experienced cultural shock and encountered language barriers for the first few weeks, I soon adapted to the Ann Arbor rhythm and started to enjoy math here. Throughout my undergraduate studies at Michigan, I have met brilliant professors who have inspired me both in coursework and research. I have also worked with enthusiastic mathematicians who devote their time to advancing equitable access to higher education for people from historically underrepresented groups and underfunded districts. Building relationships with these dedicated professors made me more determined in pursuing math, since I can both chase my own dream and help others reach t
    • CV

      EDUCATION University of Illinois at Urbana-Champaign Champaign, Illinois, USA Ph.D, Mathematics Sept. 2020 - May 2025(expected) University of Michigan Ann Arbor, Michigan, USA Bachelor of Science, Mathematics(Honors Program) April 2020 HONORS AND AWARDS Sumner B. Myers Award in Analysis (award from math department) May 2019 University Honors Dec. 2017, Apr. 2018, Dec. 2018, May 2019 James B. Angell Scholar Mar. 2019 National Scholarship in China Oct. 2016 UNDERGRADUATE RESEARCH AND INDEPENDENT STUDY Teichmu¨ller Theory(Directed Reading Program) Sept. 2019 - Dec. 2019 Advisor: Ph.D student Mark Greenfield Reading Material: A Primer on Mapping Class Groups by B. Farb and D. Margalit. Morse Theory(Independent Reading) July 2019 - Aug. 2019 Advisor: Professor Ralf Spatzier Reading Material: Morse Theory by J. Milnor. The Hofer-Zehnder Capacity of Symplectic Toric Manifolds(REU) May 2019 - July 2019 Advisor: Professor Alejandro Uribe Report: https://lsa.umich.edu/content/dam/mathassets/ UgradREU/2019/Liu,Jason.pdf Visualizing the Unit

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    PS/SOPStatement of Purpose(Math Ph.D)

    (For my privacy, I replaced the name of professors by capital letters.) When I began my career as an undergraduate, I had little idea of where I was heading. I decided to join the mathematics department due to my long-standing interest and strength in mathematics. As I have explored new research avenues and advanced my studies, I have become increasingly determined to continue studying math and stay in academia. Therefore, I have decided to apply for the graduate program at the University of Illinois to pursue a Ph.D in mathematics. I am very interested in geometry, especially symplectic geometry, but I am also open to embracing other possibilities like analysis, since I do not want to eliminate other potential options too early. Geometry captured my interest in the first year I transferred to the University of Michigan. I enjoyed taking a sequence of undergraduate analysis classes which introduced me to the study of differentiable manifolds. In my second year, I took a graduate-level differential geometry course with Professor U and was really fascinated by the beautiful theories. Therefore, I asked him for a chance to do an REU and he opened the door to symplectic geometry for me. The goal of my project was to give an estimate about the Hofer-Zehnder capacity of symplectic toric manifolds, which is a topological invariant that can help answer embedding problems in symplectic geometry. In the end, I successfully estimated a lower bound in all dimensions and discovered that the bound is sharp when the manifold is Fano. This exciting experience gave me great confidence that I am indeed capable of conducting rigorous research in math. I also learned to appreciate the intrinsic beauty of mathematics, beyond simply a sense of achievement after solving a hard problem. It is the endless theories and knowledge that motivate me and keep me enthusiastic about math. Undoubtedly, to pursue a Ph.D is challenging. However, I am quite confident that I make a strong candidate for this program. My solid background and passion for mathematics, diverse research and teaching experiences, and qualities of resilience and perseverance have prepared me well for the graduate program. I have a solid background and broad knowledge in mathematics. Bey

    PS/SOPDiversity Statement(My experience and thoughts about underrepresented groups)

    When I began my career as an undergraduate at Beihang University, I decided to join the mathematics department due to my long-standing interest and strength in mathematics. In my two years at Beihang University, I became increasingly interested in math and started to have the idea of staying in academia for the rest of my life. However, Beihang University is highly specialized in engineering and other applied pursuits, so in order to receive better academic training in pure math, I decided to transfer to the University of Michigan. Though I experienced cultural shock and encountered language barriers for the first few weeks, I soon adapted to the Ann Arbor rhythm and started to enjoy math here. Throughout my undergraduate studies at Michigan, I have met brilliant professors who have inspired me both in coursework and research. I have also worked with enthusiastic mathematicians who devote their time to advancing equitable access to higher education for people from historically underrepresented groups and underfunded districts. Building relationships with these dedicated professors made me more determined in pursuing math, since I can both chase my own dream and help others reach t

    CV

    EDUCATION University of Illinois at Urbana-Champaign Champaign, Illinois, USA Ph.D, Mathematics Sept. 2020 - May 2025(expected) University of Michigan Ann Arbor, Michigan, USA Bachelor of Science, Mathematics(Honors Program) April 2020 HONORS AND AWARDS Sumner B. Myers Award in Analysis (award from math department) May 2019 University Honors Dec. 2017, Apr. 2018, Dec. 2018, May 2019 James B. Angell Scholar Mar. 2019 National Scholarship in China Oct. 2016 UNDERGRADUATE RESEARCH AND INDEPENDENT STUDY Teichmu¨ller Theory(Directed Reading Program) Sept. 2019 - Dec. 2019 Advisor: Ph.D student Mark Greenfield Reading Material: A Primer on Mapping Class Groups by B. Farb and D. Margalit. Morse Theory(Independent Reading) July 2019 - Aug. 2019 Advisor: Professor Ralf Spatzier Reading Material: Morse Theory by J. Milnor. The Hofer-Zehnder Capacity of Symplectic Toric Manifolds(REU) May 2019 - July 2019 Advisor: Professor Alejandro Uribe Report: https://lsa.umich.edu/content/dam/mathassets/ UgradREU/2019/Liu,Jason.pdf Visualizing the Unit

    科研活动REU

    本科暑期科研,与教授1对1,具体方向是辛几何

    科研活动Gluing Tetrahedra

    通过triangulation的方法,来计算Hodge star operator的matrix representation,从而计算cohomology,Euler Characteristic等拓扑不变量

    刘一辰

    伊利诺斯大学香槟分校

    数学

    “转学/PhD申请规划“大师””

    • 0.0

      IELTS

    • 4

      GPA

    • 0

      GMAT

    录取情况

    • 申请学校数量:10+
    • 录取方式:
    • 同时录取:
      UIUC、UCSD、Stony Brook
    • 被拒学校:
      Harvard、MIT、Princeton、Chicago、Stanford、UCB、UCLA、Columbia

    就读信息

    • 高中学校:
    • 本科院校: University of Michigan
    • 本科专业: Mathematics(Honors)