1<HTML> 2<body background=rocks2.jpg> 3 4 5<body topmargin="50"> 6<body leftmargin="50"> 7 8 9<meta name="viewport" content="width=device-width, initial-scale=1.0"> 10<link rel="stylesheet" type="text/css" href="style.css"> 11 12 13<div class="topnav" id="myTopnav"> 14 <a href="index.html">Home</a> 15 <div class="dropdown"><button class="dropbtn">Research<i class="fa fa-caret-down"></i></button> 16 <div class="dropdown-content"> 17 <a href="research.html">Papers</a> 18 <a href="talks.html">Talks and notes</a> 19 <a href="research.html#software">Software</a> 20 </div> 21 </div> 22<a href="teaching.html">Teaching</a> 23<a href=cv.pdf>CV</a> 24 <div class="dropdown"><button class="dropbtn">Conferences and Seminars<i class="fa fa-caret-down"></i></button> 25 <div class="dropdown-content"> 26 <a href="organization.html">Things I organize</a> 27 <a href=champ/index.html>CHAMPS</a> 28 <a href=https://nebraskacommalg.github.io/RTG/conferences/reu.html>International REU</a> 29 <a href=https://nebraskacommalg.github.io/RTG/seminar.html>UNL Commutative Algebra Seminar</a> 30 <a href=https://eloisagrifo.github.io/conferences/camp.html>Summer CAMP</a> 31 <a href=https://eloisagrifo.github.io/conferences/bhargav.html>Commutative algebra in mixed characteristic</a> 32 </div> 33 </div> 34 <a href="javascript:void(0);" class="icon" onclick="myFunction()">☰</a> 35</div> 36 37
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48 49 50<head> 51 52 <TITLE> 53 Eloísa Grifo | Teaching 54 </TITLE> 55 <LINK REV="made" HREF="mailto:grifo@unl.edu"> 56 57 </HEAD> 58 59 <H1><center> 60 Teaching</center> 61 </H1> 62 63<br><br> 64 65<div class=teaching> 66<h2>Notes</h2> 67<ul> 68<li><a href=SymbolicPowers.pdf>Symbolic powers</a> 69<br> 70Please note that while I have written shorter notes on symbolic powers, those other sets of notes are very much outdated; this is the most up-to-date version, though still very much under construction, so use at your own risk.</li> 71 72<li><a href=PASCALectures.pdf>Lectures on homological methods in commutative algebra</a>, CIMAT May 2026 73<br> 74<a href=pasca/PASCAPSet1.pdf>Problem Set 1</a> 75<a href=pasca/PASCAPSet2.pdf>Problem Set 2</a> 76<a href=pasca/PASCAPSet3.pdf>Problem Set 3</a> 77<a href=pasca/PASCAPSet4.pdf>Problem Set 4</a> 78</li> 79 80<li>My lecture notes with Benjamin Briggs and Josh Pollitz, as well as all the materials for our Summer 2026 SLMath Graduate Summer School, can be found <a href=msri/school.html>here</a></li> 81 82<br> 83 84<li><a href=Teaching/CA1notes.pdf>Commutative algebra</a></li> 85 86<li><a href=Teaching/ca2.pdf>Commutative algebra II</a></li> 87 88<li><a href=Teaching/915notes.pdf>Homological algebra</a></li> 89 90<li><a href=Teaching/algebra.pdf>Graduate algebra notes</a></li> 91 92<li><a href=Teaching/LinearAlgebra.pdf>Linear Algebra notes</a></li> 93 94<li><a href=Teaching/topology.pdf>
94Topology notes</a></li> 95</ul> 96</div> 97 98 99<div class=teaching> 100<h2>PhD students</h2> 101<ul> 102 103<li><a href=https://sabrinafowler.github.io>Sabrina Fowler</a></li> 104 105<li><a href=https://juliannefaur.github.io>Julianne Faur</a></li> 106 107<li><a href=https://robertirelandmath.github.io>Robert Ireland</a></li> 108 109<li><a href=https://kesavan-ms.github.io>Kesavan Mohana Sundaram</a>, co-advised with Jack Jeffries</li> 110 111<li><a href=https://rawatson1997.github.io/index.html>Ryan Watson</a>, PhD 2026</li> 112 113</ul> 114</div> 115 116 117<div class=teaching> 118<h2>University Nebraska — Lincoln</h2> 119<ul> 120 121<li>Fall 2026 122<br> 123<a href=Teaching/Topology/index.html>Topology I</a> (Math 871) 124<br> 125<a href=Teaching/LinearAlgebra.pdf>Linear Algebra</a> (Math 314) 126</li> 127 128<br> 129 130<li>Spring 2026 131<br> 132<a href=Teaching/ca2/index.html>Commutative Algebra II</a> (Math 906) 133</li> 134 135<br> 136 137<li>Fall 2025 138<br> 139Introduction to Mathematical Proofs (Math 309) 140<br> 141<a href=Teaching/LinearAlgebra.pdf>Linear Algebra</a> (Math 314) 142</li> 143 144<br> 145 146<li>Fall 2024 147<br> 148Introduction to Mathematical Proofs (Math 309) 149<br> 150<a href=Teaching/817Fall2024/index.html>Introduction to Modern Algebra I</a> (Math 817) 151</li> 152 153<br> 154 155<li>Fall 2023 156<br> 157Introduction to Mathematical Proofs (Math 309) 158<br> 159<a href=Teaching/homalg2023/index.html>Homological Algebra</a> (Math 915) 160</li> 161 162<br> 163 164 165<li>Spring 2023 166<br> 167<a href=Teaching/818/index.html>Introduction to Modern Algebra II</a> (Math 818) 168</li> 169 170<br> 171 172<li>Fall 2022 173<br> 174Introduction to Mathematical Proofs (Math 309) 175<br> 176<a href=Teaching/ca1/index.html>Commutative Algebra I</a> (Math 905) 177</li> 178 179<br> 180 181<li>Fall 2021 182<br> 183<a href=Teaching/topics2022/index.html>Topics in Algebra: symbolic powers</a> (Math 918) 184</li> 185 186 187<br> 188 189<li>Fall 2021 190<br> 191Introduction to Modern Algebra (Math 310) 192<br> 193Linear Algebra (Math 314) 194 </li> 195</ul> 196 197 198<br> 199 200<h2>University California, Riverside</h2> 201<ul> 202 203 204<li>Spring 2021 205<br> 206<a href=Teaching/HomAlg/index.html>Homological Algebra</a> (Math 224)    <u><a href=CHAnotes.pdf>notes</a></u> 207 </li> 208 209<br> 210 211 <li>Winter 2021 212<br> 213<a href=Teaching/CA/index.html>Commutative Algebra</a> (Math 225)   <u><a href=CHAnotes.pdf>notes</a></u> 214 </li> 215 216<br> 217 218 <li>Fall 2020<br> 219Calculus for Life Sciences II (Math 7B) 220 </li> 221</ul> 222 223<br> 224<h2>University of Michigan</h2> 225 226<ul> 227 228 <li>Winter 2019</a> <br /> 229Introduction to Modern Algebra (<a href="Teaching/Math412/">Math 412</a>) 230 </li> 231<br> 232 <li>Fall 2018</a> <br /> 233Calculus I (<a href="Teaching/Math115/Math115.html">Math 115</a>) 234 </li> 235</ul> 236 237<br> 238 239<h2 id=âncngâ>University of Virginia</h2> 240 241<ul> 242 <li>Fall 2016</a> <br /> 243<a href="Math1320Fall2016syllabus.pdf">Calculus II</a> 244 </li> 245 246 <li> Fall 2015</a> <br /> 247<a href="Math1220Fall2015syllabus.pdf">Applied Calculus II</a> 248 </li> 249 250 <li> Spring 2015</a> <br /> 251<a href=Math1220Spring2015syllabus.pdf>Applied Calculus II</a> 252 </li> 253<br><br> 254 </ul> 255 256</ul> 257 258 259<h2 id=âncngâ>Popular Math</h2> 260 261 262<p align="justify"> I enjoy sharing Math with non-mathematicians. Here are the <a href=jsftalkslides.pdf>slides</a> I used in a talk aimed at non-mathematicians describing what Commutative Algebra is. I was also a member of the <a href=http://indorgs.virginia.edu/MathAmbassadors/> UVa Math Ambassadors</a>, and I volunteered for <a href=https://wolverinepathways.umich.edu>Wolverine Pathways</a>. 263 264<br><br> 265 266Among other activities, I co-edited a book that includes 32 short articles written by 33 young mathematicians, each article explaining a different topic in Math to a broader audience, assuming only high-school level math. However, the book is written in portuguese - but if you happen to speak the language, check out the links below! A rough translation of the title would be something like <em> Numbers, surgeries and tie knots</em>. 267 268I also wrote one of the <a href=SD10algebraEG.pdf>articles</a> in the book, explaining some basic algebra (groups, rings, etc) and Galois theory. The title roughly translates to <em>From play-doh to 5th degree equations</em>.<br /></p> 269 270<ul> 271 <li>Números, cirurgias e nós de gravata </a> <br /> 272João Pedro Boavida, Rui Pedro Carpentier, Eloísa Grifo, Pedro S. Gonçalves, David Henriques, Luí
272s Cruz-Filipe Ana Rita Pires.<br /> 273<em>IST Press</em>, 2013. 274<br> 275<a href="https://www.wook.pt/livro/numeros-cirurgias-e-nos-de-gravata-varios/14669288"> Wook </a> 276<br> 277<a href="http://www.almedina.net/catalog/product_info.php?products_id=20887"> Livraria Almedina </a> <a href=http://www.fnac.pt/Numeros-Cirurgias-e-Nos-de-Gravata-Varios/a662379>Fnac</a> 278<br> 279Here is a rough translation of a teaser for the book: 280 <ul> 281 <li> 282 <p align="justify"> How many tie knots are there? What are Penrose tilings? What are hyperreal numbers? How about p-adic numbers? Is it really impossible to find an algebraic expression to solve general 5th degree equations? Is it possible to use message cards to simulate a computer? What is the connection between linear algebra and the hydrogen atom? How do we compute derivatives of a function with discontinuities? How does one use knots and surgeries to understand 3 dimensional sets living in 4 or 5 dimensional spaces? Can Math say anything about population growth and competition between species? Or about medical diagnosis? Or on how to control satellite orbits? 283 284These are some of the questions answered in this book. </p> 285 </li> 286 </ul> 287 </li> 288 289</ul> 290</div> 291 292 293<br><br> 294<hr color=#808080> 295<p class="caption"><center> 296 email: grifo@unl.edu | Office: 339 Avery Hall 297</center> </p> 298 299 300</BODY> 301 302<!-- Global site tag (gtag.js) - Google Analytics -->
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