人才，並在純數學及應用數學的多個領域貢獻專業學術研究。數學系從 45 學年 開創時的 6 位專任教師，發展到目前有 33 位專任教師：其中教授 12 位，副教 授 10 位，助理教授 11 位；博士班學生 12 位，碩士班學生 59 位，大學部學生 237 位。
師資與研究領域
數學系的教師積極地在純數學及應用數學從事學術研究，廣泛的研究領域 包括：代數、分析、幾何、數值分析、科學計算、作業研究、機率論及統計等。
其中有多位優秀學者在各研究領域表現出色，備受數學界矚目並獲得獎項肯 定。
數學系專任教師研究領域
領域 姓名 專長
代數
蕭仁傑 Algebraic Geometry, Commutative Algebra 黃柏嶧 Algebraic Number Theory, Combinatorics 黃世昌 Representation Theory of Finite Groups
柯文峰 Algebra, Ring and Nearring Theory, Quantum Information 林 牛 Lie Superalgebras; and Their Connections to Quantum Groups
and Algebraic Geometry
粘珠鳳 Representation Theory, Number Theory, Combinatorics 楊世偉 Cluster Algebras, Combinatorial Problems in Algebra and
Geometry
分析
陳若淳 Differential Geometry, Geometric Analysis
方永富 Partial Differential Equations, Harmonic Analysis, Fourier Analysis
洪英志 Differential Geometry, Partial Differential Equation, Mathematical Physics
郭鴻文 Kinectic Theory, Partial Differential Equations 李國明 Integral Equation, Inverse Problem
連文璟 Partial Differential Equations
林景隆 Partial Differential Equations, Inverse Problems 林育竹 Geometric Analysis, Partial Differential Equations 劉珈銘 Mathematical Physics, Complex Geometry, Differential
Geometry, Topology, Analysis
劉育佑 Applied Mathematics, Partial Differential Equations and
Numerical Computation
史習偉 Partial Differential Equations, Harmonic Analysis
幾何
陳若淳 Differential Geometry, Geometric Analysis 章源慶 Algebraic Geometry
江孟蓉 Symplectic Geometry
洪英志 Differential Geometry, Partial Differential Equation, Mathematical Physics
蕭仁傑 Algebraic Geometry, Commutative Algebra
林 牛 Representation Theory of Infinite Dimensional Lie algebras and Lie Superalgebras; and Their Connections to Quantum Groups and Algebraic Geometry
林育竹 Geometric Analysis, Partial Differential Equations 劉珈銘 Mathematical Physics, Complex Geometry, Differential
Geometry, Topology, Analysis
夏 杼 Algebraic Geometry, Higgs Bundles, Representation
Varieties, Dynamical Systems, Mapping Class Group Actions 鄺國權 Differential Geometry, Riemannian and Lorentzian Geometry 劉之中 Mathematical Physics, Vortex Equations, Gauge Theory, and
Differential Geometry
數值分析 與科學計
算
陳旻宏 Scientific Computing, Discontinuous Galerkin Methods, High-Order Numerical Methods
侯世章 Numerical Methods for Partial Differential Equations 李國明 Integral Equation, Inverse Problem
劉育佑 Applied Mathematics, Partial Differential Equations and Numerical Computation
沈士育 Boundary Element Method, Stress Waves, Inverse Heat Conduction Problems, Option Pricing
舒宇宸 Numerical Partial Differential Equation, Interface Problems, Multigrid Methods
王辰樹 Numerical Analysis, Matrix Computation, Optimal Control System
作業研究 許瑞麟 Operation Research, Algorithms, Nonconvex Quadratic Programming, Fractional Programming
吳順益 Functional Analysis, Linear Programming, Optimization 機率與統
計
陳重弘 Biostatistics, Mathematical Statistics 黃炎坤 Probability Theory
李春得 Nonparametric Statistics, Asymptotic Theory in Statistics
國科會專題及產學合作計劃
過去兩年來，數學系教師執行多項國科會的專題或與業界合作的產學研究 計畫，金額一年平均大約有 1400 萬元。
101 學年國科會專題計劃
合計總金額： NT$1286.22 萬元主持人 計劃名稱 核定金額
1 吳順益 無限維數學規劃問題在Lp 空間及半無限維運輸規
劃問題(3/3) 773,000
2 柯文峰 尋找最多的相互不偏基底(3/3) 1,545,600
3 許瑞麟 標準二次規劃問題的半正定鬆弛對偶間隙估計 421,000
4 夏 杼 非交換代數和非阿貝爾上同調(2/2) 1,063,600
5 王辰樹 解超大型代數Riccati 方程之 SDA 演算法的向後擾
動分析 366,000
6 方永富 關於一些波動類方程的散射問題 361,000
7 江孟蓉 切觸圓群作用 434,000
8 林景隆 關於分數形的異常擴散方程的惟一延拓性(1/3) 1,343,000
9 李國明 簡單混合法於Robin 反散射問題(2/2) 466,000
10 粘珠鳳 有限體上的局部逆定理之賈克猜想 272,000
11 黃柏嶧 代數結構中的組合 354,000
12 黃世昌 對李型有限群中的一個家族尋找缺掉的分解數字 398,000
13 章源慶 對稱軌形及三維流形上的計數幾何 385,000
14 楊世偉 Cluster 代數及對稱多項式 310,000
15 舒宇宸 移動界面問題之創新方法的發展與應用 (2/2) 576,000
16 林育竹 非等向性曲率流漸近行為之研究 351,000
17 蕭仁傑 交換代數與代數幾何中的組合相關問題(2/2) 454,000
18 劉育佑 非穩定對流中的紊流火焰速度 324,000
19 許瑞麟 台南地區數學期刊圖書服務計畫(2/3) 2,665,000
102 學年國科會專題計劃
合計總金額合計總金額： NT$1439.3 萬元主持人 計劃名稱 核定金額
1 吳順益 半無限維規劃在二次錐限制條件下的問題與非線
性半無限維規劃問題 796,000
2 柯文峰 歐氏空間上的拓樸平面近環 1,264,000
3 許瑞麟 在二次限制式下之二次分數型廣域最佳化問題 469,000
4 林 牛 經典李超代數之Koszul 對偶性 792,000
5 夏 杼 特徵簇和格羅莫夫-威滕不變量 1,318,000
6 王辰樹 狀態迴溯極點配置問題的小樣本統計條件數估算 321,000
7 連文璟 具對稱性可壓縮流之研究應用 264,000
8 江孟蓉 高維的過扭曲切觸結構及相關性質 469,000
9 林景隆 關於分數形的異常擴散方程的惟一延拓性(2/3) 831,000
10 李國明 以無相位資訊重構障礙物 512,000
11 粘珠鳳 有限暨皮阿迪克線性群表現之加碼因子 386,000
12 黃柏嶧 連通子圖相異和之圖 260,000
13 黃世昌 對一些李型有限特殊群的最大p-局部子群的分類 320,000
14 章源慶 曲線的計數理論及其等價性 363,000
15 楊世偉 有限型量子叢代數 300,000
16 林育竹 平面上等向性曲率流之奇異點分析 299,000
17 蕭仁傑 交換代數與代數幾何中的組合相關問題(2/2) 454,000
18 劉育佑 紊流中的火焰傳播速度 354,000
19 舒宇宸 隱式溶劑模型中創新的分子界面構造法 469,000
21 郭鴻文 氣體動力學裡的邊界效應(1/2) 440,000
22 劉珈銘 量子曲線與代數曲線 558,000
23 史習偉 高 維 超 臨 界 波 動 方 程 解 的 正 則 性 問 題 及
Klein-Gordon 方程解的泛數估計 442,000
24 許瑞麟 台南地區數學期刊圖書服務計畫(3/3) 2,665,000
25 舒宇宸 大專學生參與專題研究計畫 47,000
跨領域產學合作計劃
主持人 計畫名稱 合作單位 計畫金額 合作期間
1 舒宇宸 紅外線感測手指容積脈波信號之血管
彈性與硬度分析 賞金科技 220,000 2012/01/01 - 2013/06/30 2 舒宇宸 Fast Capacitance and Resistance
Extraction 新思科技 944,578 2012/07/01 - 2013/06/30
定期學術專題演講及研討會
數學系在學期中每週定期舉辦專題演講及多場專題研討。除此之外，數學 系每年也會定期地主辦或協辦包括代數、幾何、數值計算、作業研究或偏微分 方程各領域的短期課程、工作坊或學術會議。
102 學年專題演講
日期 領域 講題 單位 演講者
2013/8/1 Algebra
Complete characterization of isolated homogeneous hypersurface singularities
北京清華大學數學科學 系
Professor Stephen Yau (丘成棟教授) 2013/11/4 Algebra
How Riemann hypothesis arises in discrete
geometry?
LIPN, University Paris 13, France
Prof. Olivier Bodini 2013/11/4 Algebra Random walks and
analytic combinatorics LIPN, University Paris
13, France Prof. Cyril Banderier 2013/11/4 Algebra Nonlinear differential
equations in the analysis of algorithms
Institute of Statistical Sciences, Academia Sinica
Prof.
Hsien-Kuei Hwang 2013/11/28 Algebra An introduction to
Okounkov bodies 國立清華大學數學系 卓士堯教授 2013/12/5 Algebra
A connection between finite $W$-algebras and Yangian algebras
中央研究院數學研究所 彭勇寧博士
2013/12/25 Algebra Arithmetical Ranks of
Certaion Ideals 國立中正大學數學系 江謝宏任副教 授
2014/1/13 Algebra Forcing matching problems of graphs
中國蘭州大學數學與統
計學院 張和平教授
2014/1/14 Algebra M_24, Co_1, Monster 中央研究院數學研究所 Prof. Ching Hung Lam 2014/3/10 Algebra What is algebra good for?
Institute for Algebra, Johannes Kepler University Linz, Linz, Austria
Prof. Günter Pilz
2014/5/13 Algebra Central simple algebras
and Galois cohomology (I)中央研究院數學系 余家富研究員
日期 領域 講題 單位 演講者 2014/5/13 Algebra Central simple algebras
and Galois cohomology (II)
中央研究院數學系 余家富研究員
2014/5/14 Algebra
Central simple algebras and Galois cohomology (III)
中央研究院數學系 余家富研究員
2014/5/14 Algebra Central simple algebras and Galois cohomology (IV)
中央研究院數學系 余家富研究員
2014/5/15 Algebra
Central simple algebras and Galois cohomology (V)
中央研究院數學系 余家富研究員
2014/5/15 Algebra
Supersingular abelian surfaces and class number formulas
中央研究院數學系 余家富研究員
2014/6/5 Algebra What is the Monster? 中研院數學所 林正洪教授 2014/6/20 Algebra
A Conversation Between a Physicist and a
Mathematician.
Capital Normal
University; University of Sydney & Department of Physics, NCKU
Prof. King Fai Lai and Prof.
Chiachu Chen
2014/6/25 Algebra
Kac-Wakimoto character formula for
finite-dimensional
classical Lie superalgebras
中研院數學所 程舜仁 教授
2013/9/16 Applied mathematics
Equilibrium problems related to conic
complementarity problems
Department of Human-Social
Information Sciences, Graduate School of Information Sciences (GSIS), Tohoku University
Prof. Shunsuke Hayashi (林 俊 介教授)
2013/11/7 Applied mathematics
Generalized Polarization Tensors for Shape Representation
Department of Mathematics, Inha University
Prof. Hyeonbae Kang
2013/11/14 Applied mathematics
Solutions to drift diffusion systems with
cross-diffusion terms
國立臺灣大學數學系 林太家教授
2013/11/21 Applied mathematics
From the Lambert problem to the n-body problem
國立清華大學數學系 陳國璋教授
2013/11/25 Applied mathematics
Resonances and homoclinic curves
Department of
Mathematical Sciences, Ritsumeikan University, Japan
Prof. Setsuro Fujiie
日期 領域 講題 單位 演講者
2013/12/5 Applied mathematics
Some Results for Convex Infinite Optimization Duality
Department of Statistics and Operations
Research, Alicante University, Spain
Prof. Marco A.
López
2013/12/5 Applied mathematics
Boundary singularity of moments for the linearized Boltzmann equation
國立台灣大學數學系 陳逸昆 教授
2013/12/9 Applied mathematics
Vector diffusion maps and random matrices with random blocks
Department of
Mathematics, Stanford University
Hautieng Wu 吳浩榳 教授 2013/12/12 Applied
mathematics Simple PDE Model of
Spot Replication 台大數學系 陳俊全教授 2013/12/17 Applied
mathematics
Parallel-by-Design: A New Algorithm for Unconstrained Optimization
MSIE Program, Sabanci University
Prof. Ilker Birbil
2013/12/19 Applied mathematics
Differential Variational Systems: A new paradigm of constrained dynamical systems
Department of Industrial and Systems
Engineering, University of Southern California
Epstein Family Professor Jong-Shi Pang
2013/12/19 Applied mathematics
Global Dynamics of a Heterogeneous Lotka-Volterra
Competition-Diffusion System
新竹理論中心 何小清博士
2014/1/9 Applied mathematics
An Interdisciplinary Study for Optimizing Photonic Crystals Structures
國立臺灣大學應用數學
科學研究所 王偉仲教授
2014/1/15 Applied mathematics
Eigendecomposition of the discrete double-curl
operator with application to fast eigensolver for 3D photonic crystals
國立交通大學應用數學 系
林文偉講座教 授
2014/2/10 Applied mathematics
A Semiorthogonal Generalized Arnoldi Method and Its Variations for Quadratic Eigenvalue Problems
Department of
Mathematics, Southeast University
李鐵香教授
2014/2/20 Applied mathematics
Some Thoughts on Inter-Disciplinary
Research, a Case Study on Kinetic Theory and Gas Dynamics
中央研究院數學研究所 劉太平 院士
2014/2/27 Applied
mathematics Hyperbolic Resonant
Systems of Balance Laws 中央大學數學系 洪盟凱教授 2014/3/13 Applied
mathematics
On Ground States of Spin-1 Bose-Einstein Condensates w/o external magnetic field
國立臺灣大學數學系 陳宜良教授
日期 領域 講題 單位 演講者 2014/3/27 Applied
mathematics
On the minimal speed of monostable connecting fronts
淡江大學數學系 郭忠勝教授
2014/4/17 Applied mathematics
Ground states of nonlinear Schrodinger equations with square-root nonlinearity
國立臺灣大學數學系 林太家教授
2014/5/1 Applied mathematics
Fourier Analysis of the
Unit Circle 清大數學系 蔡孟傑教授
2014/5/22 Applied mathematics
In Reaction Diffusion Equation
Memorial University of Newfoundland , Canada
Professor Xiaoqiang Zhao 2014/6/19 Applied
mathematics
Long-time asymptotics of Camassa-Holm equations
Taida Institute for Mathematical Sciences
Dr. Chueh-Hsin Chang
2014/7/2 Applied mathematics
The Mathematical Model for the Contamination Problems and Related Inverse Problems
School of Mathematical Sciences, Fudan
University
Professor Jin Cheng
2014/7/2 Applied mathematics
Reconstruction of
Discontinuous Density in Computerized
Tomography
上海財經大學應用數學
系 江渝教授
2014/9/22 Applied mathematics
Minimal Models and Derived Category of Toric Varieties
日本科學院院士 Prof. Yujiro Kawamata 2014/10/2 Applied
mathematics
Duality in Boltzmann Equation and its Applications
新加坡國立大學 尤釋賢 教授
2014/10/9 Applied mathematics
On the Computation for Blow-up Problems
Department of
Mathematics, National Chung Cheng University
Professor Chien-Hong Cho
2013/10/3 Applied
mathematics-PDE Hilbert Sixth Problem Institute of Mathematics,
Academia Sinica Prof. Tai-Ping Liu
2013/10/6 Applied
mathematics-PDE Riemann problem Institute of Mathematics, Academia Sinica
Prof. Tai-Ping Liu
2013/10/6 Applied mathematics-PDE
Boltzmann collision operator without non cutoff
Department of
Mathematics, National Tsing Hua University
Prof. Jin-Cheng Jiang
2013/10/6 Applied mathematics-PDE
Couette problem for highly rarefied gases
Department of
Mathematics, National Taiwan University
Prof. I-Kun Chen 2013/10/7 Applied
mathematics-PDE
Multi-dimensional shock waves
Institute of Mathematics, Academia Sinica
Prof. Tai-Ping Liu
日期 領域 講題 單位 演講者
2013/10/7 Applied mathematics-PDE
Entropy production estimate for the homogeneous Landau equation with soft potentials
Department of
Mathematics, National Kaohsiung Normal University
Prof.
Kung-Chien Wu
2013/10/7 Applied mathematics-PDE
Greens functions for p-system in half line
Institute of Mathematics, Academia Sinica
Dr. Chun-Liang Lin
2014/1/16 Applied mathematics-PDE
Self-similar solutions of incompressible
Navier-Stokes
Department of
Mathematics, University of British Columbia
蔡岱朋教授
2014/1/17 Applied mathematics-PDE
Self-similar solutions of incompressible
Navier-Stokes
Department of
Mathematics, University of British Columbia
蔡岱朋教授
2014/3/9 Applied mathematics-PDE
Multi-dimensional shock waves
Institute of Mathematics, Academia Sinica
Prof. Tai-Ping Liu
2014/3/9 Applied mathematics-PDE
Estimates on non cutoff Boltzmann collision operator
Department of
Mathematics, National Tsing Hua University
Jin-Cheng Jiang 2014/3/9 Applied
mathematics-PDE
Regularity of solutions to the linearized Boltzmann equation
Department of
Mathematics, National Taiwan University
Prof. I-Kun Chen 2014/3/10 Applied
mathematics-PDE
Stability of Thermal Creep flow in Rarefied Gas
Department of
Mathematics, National Cheng Kung University
Prof.
Hung-Wen Kuo 2014/3/10 Applied
mathematics-PDE
Smoothing effect of the Fokker-Planck equation
Department of
Mathematics, National Kaohsiung Normal University
Prof.
Kung-Chien Wu
2014/3/10 Applied mathematics-PDE
Green’s functions of compressible
Navier-Stokes equations in half line
Institute of Mathematics, Academia Sinica
Dr. Chun-Liang Lin
2014/3/20 Applied mathematics-PDE
Extreme of the Strichartz inequality for the
Schrodinger equation
國立清華大學數學系 江金城教授
2014/3/21 Applied mathematics-PDE
Classical limits of the Quantum Zakharov system
國立交通大學應用數學
系 林琦焜教授
2014/3/21 Applied
mathematics-PDE Singular limits of the Zakharov type system
國立交通大學應用數學
系 林琦焜教授
2014/4/10 Applied mathematics-PDE
Well-posedness for the homogeneous Landau equation with soft potentials
國立高雄師範大學數學
系 吳恭儉教授
2014/5/8 Applied mathematics-PDE
A hybrid immersed boundary and immersed interface method for electro-hydrodynamic simulations
交大應用數學系 賴明治教授