![]() You can learn so much from the bartenders in the city and of course, from the instructors at EBS New York. It offers all types of bars, from local dive bars to literally the best bar in the world. New York is the ultimate place to take a bartending course, whether you’re a beginner or an experienced bartender like me. It also appears that bartending is taken more seriously as a profession in the US thanks to its deep and rich history. In the US, there is a lot more interaction between the customer and the bartender. I learned a great deal about the relationship with the clientele and the differences between the Italian and the American customers. I feel much more prepared when it comes to techniques. How do you feel now that you have completed your bartending course? ![]() Interestingly enough, the contest taught me how to craft a cocktail using a good dose of creativity, while keeping in mind the importance of its commercial appeal as the drinkability was one of the main evaluation criteria. Winning the bartending course competition was fantastic! Competing was a unique and very useful experience as the event was open to the public! We worked in teams of two to prepare and present a signature cocktail, which was then judged by both the public and a selected jury. What was it like to win the cocktail competition during your course? Last but not least, we learnt how to perform awesome flair moves, which was completely new to me and very entertaining. However, the most important part of the course was the bar training, which despite my previous experience, helped me learn how to craft a lot of new cocktails and how to work effectively. My favourite part was the theory I’m really interested in the ingredients and the spirits that make up a cocktail. Honestly, I was expecting it to be a piece of cake, but I slowly realised that despite having previous experience, it still requires a lot of commitment and hard work. The school walls are decorated with incredible bartending murals which fit in perfectly with the style of the school’s neighbourhood, Williamsburg.Īnd what about the EBS bartending course? The school is fantastic: it has very modern facilities, state-of-the-art materials, and a large terrace where you can relax. What made the decision even easier was that the person who introduced me to the world of bartending was also working in New York! What’s the school like? I also knew that it would be the perfect opportunity for me to improve my English as well. ![]() I chose the EBS bartending course, and specifically New York, because I wanted to develop my skills and expand my bartending knowledge in a more international way. ![]() Gabriele Varrasi has been bartending for the past three years, despite his experience, he felt that his bartending skill set was lacking something, so he decided to take a bartending course. Read on to find out how this experienced bartender took his skills to the next level with EBS New York. Gabriele knew that there was only one place that could provide with what he was looking for, that was New York City. ![]()
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![]() Good afternoon to Jojo Zaho out of drag □□ #DragRaceDownUnder /圆VBxIMe6E Potato Head cosplay for a “Born Naked” runway and I’m here for it □ #DragRaceDownUnder #DragRace /27KfaVXUBR She really respects our local culture and it shows. I just LOVE how actually researched the local drag and local cultural references. “she took my land it’s only fair i take her costume” #DragRaceDownUnder /nudjkNoiSM 4BOKTav38NĪrt Simone is EATING THIS RUNWAY !!!!! #DragRaceDownUnder /qyhUM6Wqq3 If anyone talks shit about any of the #DragRaceDownUnder contestants you have to fight this kangaroo. Ghorl I am cackling #DragRaceDownUnder /acLFtbjuI7Ī cash prize of thirty thousand dollaz…… #DragRaceDownUnder /jbkmJItoHZ Less than five minutes into #DragRaceDownUnder lmao /FScxsqfq8b We’ve only had one episode and made it iconic! Thank you for showing the world your drag❤️ #DragRaceDownUnder /6SDbTxkb6G RuPaul: I’m searching for Down Under’s first Drag Race superstar ![]() Here’s how fans reacted to the first episode of Drag Race Down Under: “I got to have a cheeky Untucked chat with the girls on RuPaul’s Drag Race Down Under season 1,” Dannii said in a statement.Īnita Wigl’it, Art Simone, Coco Jumbo, Elektra Shock, Etcetera Etcetera, JoJo Zaho, Karen from Finance, Kita Mean, Maxi Shield and Scarlet Adams have all started their engines and the fans are ready to see them slay. We are buying what Down Under is selling, honey, because there’s a two-for-one Minogue deal! Kylie’s legendary sister Dannii will also guest star on the series. ![]() “It’s such an iconic show and I can’t wait to watch the contestants perform their hearts out to win the title of Down Under’s first Drag Superstar!” “I’m so excited to finally be a part of RuPaul’s Drag Race for the first series Down Under,” said Kylie. Last month, pop icon Kylie Minogue was confirmed as a guest judge on the series. This season is also set to be jam-packed with incredible guest judges and sickening challenges. The Australasian spin-off, which premiered today on BBC iPlayer, has introduced ten fierce Australian and Kiwi contestants to the ever-expanding franchise.įor the first iteration of the series, we see the return of both Mother Ru and Michelle Visage to the judges’ panel alongside Rhys Nicholson. The first season of RuPaul’s Drag Race Down Under has finally arrived and the fans are absolutely gagging. ![]() ![]() ![]() ![]() It’s unclear whether the anticipated resolution to the state prosecution will also resolve the ongoing FBI investigation. Justice Department is considering filing federal hate crime charges, according to a senior law enforcement official familiar with the matter who spoke to AP on condition of anonymity to discuss the ongoing case. Prosecutors also recently asked survivors to prepare for the June 26 hearing by writing victim-impact statements and steeling themselves emotionally for the possible release of the Club Q surveillance video of the attack.Īldrich faces more than 300 state counts, including murder and hate crimes. But Colorado law requires victims to be notified of such deals, and several people who lost loved ones or were wounded in the attack told the AP that state prosecutors have given them advance word that Aldrich will plead guilty to charges that would ensure the maximum state sentence of life behind bars. ![]() “I have to take responsibility for what happened,” 23-year-old Anderson Lee Aldrich said in their first public comments about the case.įederal and state authorities and defense attorneys declined to comment on a possible plea deal. Word of a possible legal resolution of last year’s Club Q massacre follows a series of jailhouse phone calls from the suspect to the AP expressing remorse and the intention to face the consequences at the next scheduled court hearing this month. (AP) - The suspect in a mass shooting at a Colorado Springs gay nightclub is expected to strike a plea deal to state murder and hate charges that would ensure at least a life sentence for the attack that killed five people and wounded 17, several survivors told The Associated Press. We encourage and welcome all applicants to apply.įor more information about this position, please contact the restaurant and ask for a manager.Digital Replica Edition Home Page Close Menuīy JIM MUSTIAN and JESSE BEDAYN (Associated Press)ĬOLORADO SPRINGS, Colo. We are committed to providing equal employment opportunities to all employees and applicants for employment without regard to race, color, religion, age, gender, gender identity, disability, veteran status, sexual orientation, citizenship, national origin, or any other legally-protected status. We are proud to be an equal opportunity employer. Life, accidental and critical illness insurance.The total rewards package includes, but is not limited to, the following: Our Restaurant Roadies are paid weekly! In addition, we offer a comprehensive total rewards package after one year of service to Roadies that meet our benefit eligibility requirements. Our restaurant Roadies are the heart and soul of our company, bringing Legendary Food and Legendary Service to our local communities.Īt Texas Roadhouse we have a fun culture with flexible work schedules, discounts in our restaurants, friendly competitions, recognition, formal training, and career growth opportunities. If you think you would be a legendary Bartender, apply to become a part of our Bar Team today! Ĝomplying with responsible alcohol service guidelines, including serving guests responsibly.Taking orders and preparing alcoholic beverages.Texas Roadhouse is looking for a Bartender who can create regulars and serve our legendary drinks while having fun in our fast-paced atmosphere.Īs a Bartender, your responsibilities would include: Love your job at Texas Roadhouse! Join our team and work in a high-volume restaurant filled with fun. ![]() ![]() Help for Pokemon Mystery Dungeon: Red Rescue Team on Gameboy. Every kind of Gummi can be found here as well. See our member submitted walkthroughs and guides for Pokemon Mystery Dungeon: Red Rescue Team. Different kinds of glasses can be found here as well(X-ray Specs, Insomniscope, etc.). Your party should be around level 35, so you may be able to tackle the Stormy Sea right after beating Sky Tower.Īlong with various orbs, there are different types of bands/scarves/ribbons(including Gold Ribbons). Pokemon Mystery Dungeon Red Rescue Team/ Blue Rescue Team Japanese Strategy Guide - Hardcover Hardcover. On these more challenging extra dungeons that go beyond 30 floors, you should head straight for the stairs when you see them, or you will be bringing a toolbox full of apples along. Pokmon Mystery Dungeon: Red Rescue Team beoordelingen, geheimen, cheats, lage prijzen ( 21.99) en veel meer. Make sure you know your types before the battles, an unlucky break of an Ice Ball attack could spell doom to a useful Grass-type teammate. At around floor 25, the heat picks up as you face fully evolved Pokémon in large quantities. Pokmon Mystery Dungeon: Blue Rescue Team and Red Rescue Team Image for Pokmon Mystery Dungeon on Wii U Virtual Console this week. After that it gets hard - the Pokémon are stronger, but there are more items to pick up. For the first 10 floors, it is easy with weak Pokémon like Seel. You may bring a team as large as you want but in order to recruit the 4-star size Kyogre you can only have a 2-star size party when fighting it, so when you reach floor 39 say goodbye to enough party members to make room for Kyogre. You should pack up on Max Elixirs, apples, HM dive and berries. It has 40 floors and at the bottom is Kyogre. These Pokémon versions of the classic Mystery Dungeon games are both connectable with eachother and Blue is connectable with Pokémon Torouze.This dungeon is challenging and is filled with water-type Pokémon. ![]() While in dungeons your Pokémon can also get hungry which lowers it's HP adding a whole new game mechanic When in dungeons you may see Wild Pokémon, you can just attack them and the battle starts without changing the scene. The battling is a mixture of real-time battling & the turn based battles classic to Pokémon. It consists of Red Rescue Team for the Game Boy Advance, and Blue Rescue. There is a lot to do in this game such as getting all 386 to join your rescue force, doing as many missions as possible, getting a high rescue force rank, just doing anything you can. This is an in-depth walkthrough for the original Pokmon Mystery Dungeon games. In Pokmon Mystery Dungeon: Red and Blue Rescue Team, Makuhita Dojo has 21 preset mazes, each only three floors deep.The first floor of all the mazes has no special features, while the second floor has limited visibility and water tiles (except Fire Maze which has lava, Rock and Steel Maze which have no special floor tiles). They get lost in dungeons or lose items in dungeons.and you need to rescue them with your rescue forceĪll 386 Pokémon are obtainable in this game to join your rescue force and are seen by battling them in one of the almost 50 dungeons, some of them with massive Legendary Bosses at the end of them such as Rayquaza, Deoxys or Mewtwo. What you have to do is help out Pokémon who have asked for your help. ![]() You immediately get to choose a partner who will constantly travel with you until you beat the game. ![]() Your task, to complete the dungeons and find a way to return back to human form. You are a person who randomly got turned into a Pokémon. They are RPG games where you take control of the Pokémon and gain a Rescue Force featuring any of the 386 Pokémon. Pokémon Mystery Dungeon Red & Blue are a duo of games based on the popular Mystery Dungeon series. Medicham will be laughing about Lombre and how he is unable to swim properly despite being a Water-type. Solar Cave (Japanese: Solar Cave) is a dungeon in Pokémon Mystery Dungeon: Red Rescue Team and Blue Rescue Team and Pokémon Mystery Dungeon: Rescue Team DX that contains 20 floors. Mystery Dungeon - Explorers of Time & Darkness Once you have gone through a cut scene learning about how to evolve Pokémon and switching leaders within dungeons, find Medicham near your rescue team base. Mystery Dungeon: Blazing, Stormy & Light Adventure Squad ![]() ![]() ![]() “Can you restore my computer to exactly the way it was? ” Level 1 being the fastest and cheapest, and level 3 being the most labor intensive and expensive. Essentially, storage drive failures can be categorized into 3 general levels. However, some recoveries can take weeks or longer. Often in as little as 24-48 hours may be possible. How long will it take?ĭepends on the specifics of the recovery. Professional evaluation will narrow down quote tremendously. How much will it cost?ĭepending on the storage medium, severity of failure, turnaround time and success rate, costs can range anywhere from under $100, up into the thourecovery-advisorsands. The recovery-advisorkey to avoiding data loss is to make regular backups of your data, and to have your computer serviced or managed regularly. Hard drives operate on the same principles as classic record players, using a spinning disk to hold data and reader arm (or digital needle) to read it. The question is more often than not, can the data be retrieved at a price that makes sense? There are many types of hard drive failures with varying severity, but most of the time, recovery is possible, even under extreme cases. Let us help relieve the stress and anxiety associated with data loss by answering some common questions. Any particles that get onto the surface of a disk will permanently render the data unrecoverable. This is needed due to the nature of drive based storage. Technicians working in a clean room environment wear special suits, masks, shoes and gloves. Why cleanroom level service may be requiredĪ clean room is a specially controlled environment completely free of airborne dust, dirt and hair particles. With us, you can be assured that we’ll always accurately diagnose your project and offer honest advice and accurate quotes for recovery. Many recovery projects are misdiagnosed as requiring level 3 recoveries, often adding excessive cost to a potentially straightforward recovery project. ![]() Level 3 cleanroom services required and a free evaluation with Drivesavers is recommended. Typically requires cleanroom level service. Good chances for in-shop recovery, but may need to be upgraded to tier 3 service for full recovery. Level 2 – More intensive failures involving firmware, circuitry, and more advanced mechanical failures.Very likely be a successful in-shop recovery. Level 1 – Early stages of failure, low level failure and/or accidental deletion/loss.For projects that require level 3 recovery service in a cleanroom, or for special circumstances, our partnership with DriveSavers provides the highest chance for success. We are highly successful in dealing with level 1 and level 2 recoveries. For many recoveries, we’ll be able to perform recovery right here at our lab in Seattle. We've teamed up with our friends at DriveSavers to offer our clients a single solution for every type of data loss scenario.Įssentially, storage drive failures can be categorized into 3 general levels. Be cautious of any company offering a flat rate without physically evaluating your unique situation. Many recovery situations do not require cleanroom service, which may cost several thousand dollars. These companies perform no recovery onsite, and actually ship your drive out of state to their true “lab.” Pricing & Promisesĭue to the vast array of data loss scenarios, up front flat pricing quotes are usually something to be cautious of. Many, including well known national chains, pretend to offer local recovery services, but are usually simply acting as middlemen. Progressive Tech has a proven track record of successful data recovery, and has earned the trust of tens of thousands of satisfied clients. Many of the data recovery firms listed online may not be what they appear. ![]() How much do you care about your data?Īt first glance, many data recovery companies appear to offer the same level of service. Don’t be a victim of low prices and false promises. Is your data important to you? One data recovery company might appear to be just as qualified as another. ![]() ![]() The news was confirmed on Rihanna’s Instagram with a snap of her hand holding a soccer ball and the simple caption: “.” This confirmation is particularly exciting for Rihanna’s fandom, known as Navy, after a long hiatus from the singer’s musical activities. She will be playing at Super Bowl LVII, scheduled for February 12 at State Farm Stadium in Glendale, Arizona, just outside of Phoenix. Rihanna fans, rejoice! The singer has officially become a performer of the Basketball And Logo Denver nuggets navy swish champions 2023 shirt Additionally,I will love this Apple Music Super Bowl Halftime Show in 2023. Basketball And Logo Denver nuggets navy swish champions 2023 shirt, hoodie, tank top, sweater and long sleeve t-shirt Christina Carreira and Anthony Ponomarenko, with their elegant freestyle skating in “Summertime,” by Louis Armstrong and Ella Fitzgerald, won bronze but failed to make the world team Hawayek and Baker are said goodbye. Green and Parsons are the ice dance gold medalists at the 2022 Quad-Continental Championship and will no doubt defend their title in Colorado Springs next month. medal not only for them but also for their coaches, former champions Charlie and Tanith White and Greg Zuerlein, who founded the Michigan Ice Dance Academy last March. at “Rhapsody in Blue” (with Green in fuchsia), winning a silver medal-the first U.S. (Former teammates with whom they have played longer include Maia and Alex Shibutani, inducted in their first year of qualifying for the US Figure Skating Hall of Fame.) Caroline Green and Michael Parsons, skating. As a result, they won their fourth US title. their freestyle shows off their relationship, but since the initial reaction (at Skate America in October, where they lost to Hawayek and Baker in the freestyle dance section), they’ve made changes: Now Now Chock is fire, Bates is air and the two blend together. (A toy snake was thrown onto the ice after they danced freely on Saturday Chock put it on for a kiss and cried.) Now, as a couple in real life as on ice, they want the dance. Madison Chock and Evan Bates, the defending champions, have established themselves over the past few seasons as the best dancers of character Their snake dance, with Chock in a snake-like green costume, became a hallmark. With Madison Hubbell and Zachary Donohue retiring, Kaitlin Hawayek and Jean-Luc Baker pulling out due to injuries, the US ice dance rink opened its widest this season in years. silver medalists Emily Chan and Spencer Howe and bronze medalists Ellie Kam and Danny O’Shea. They will compete at the World Figure Skating Championships alongside the medal winners. In San Jose on Saturday night, Alexa Knierim and Brandon Frazier regained the Basketball And Logo Denver nuggets navy swish champions 2023 shirt Additionally,I will love this US doubles title they won for the first time in 2021. ![]() ![]() Lee, an Asian man for whom a reception stocked with Bud Light, is being held. For example, the obviously white man - played by Eddie Jemison, who has gone on to star as techno-thief Livingston Dell in the George Clooney/Brad Pitt "Ocean's 11" trilogy - is asked if he is Dr. ![]() The first of the recent "catch phrase" ads, the commercials featured a pathological liar who would make any claim just so he could get his hands on some Bud Light. "The king of ads - Inbev has acquired more than just beer - decades of clever marketing have made Anheuser-Busch. ^ He is pictured in DELTA CHI (LSU chapter) in the LSU yearbook ( Gumbo) for 1984."8 more celebrities who went to New Orleans high schools". ^ a b "Edward Jemison (Sr.) Obituary".Recurring role (Seasons 2–3), guest (Season 4) "A Billionaire Goes to Hell Sitcom Family" "William Wily", "I Think You Should See My Therapist", "A New Beginning" Main role (Seasons 1–2), recurring (Season 3) Late Show with David Letterman: Video Special Jemison has also appeared on Late Night with David Letterman. Online, Jemison starred in the web series Self Storage. Other major commercial credits for Jemison included a Wheaties commercial with basketball star Michael Jordan and an appearance alongside football star Joe Montana. This catchphrase, "Yes, I am," has stuck to Jemison over the years, to the point that he became a little weary of being the "Yes, I am" guy. In the mid-1990s, before launching a film career, he starred in a series of Bud Light commercials with the tagline "Yes, I am". Jemison's wife, Laura Lamson, co-starred in the film as well. ![]() He made his directorial debut in 2013 with an independent film called King of Herrings, starring himself and longtime friends Joe Chrest and John Mese, who both also came out of LSU's theatre department. Film career Īs an actor in films, Jemison's major breakthrough was undoubtedly the Ocean's franchise, a series of movies in which he played Livingston Dell. He graduated from Louisiana State University where he was a member of the Delta Chi fraternity. He was raised in Kenner, Louisiana, and attended a Catholic secondary school, Archbishop Rummel High School. Jemison was born in New Orleans, Louisiana, the son of Rosalie ( née Centanni) and Edward Francis Jemison, Sr. He is known for his roles as Livingston Dell in the Ocean's film trilogy and Mickey Duka in The Punisher, as well as the television series Hung, iZombie and Chicago Med. (November 25, 1963) is an American film and television actor. ![]() ![]() ![]() Turn the handlebar from left to right without pulling the wire. When you need to remove the computer, slide forward the computer with the lever pushed simultaneously.Īllow enough wire clearance in the area marked with an Slide the computer into the bracket until you hear the click sound The contact points are automatically closed. Put the rubber pad 6 on the bracket 1 and secure the bracket on the handle bar with the screw. ![]() ![]() Secure the cord on the front fork with the nylon ties (smaller ones) 7 and coil it around the brake cable that leads to the handle bar. Rotate the sensor on the front fork to adjust the gap between the sensor and the magnet 5 within 5 mm, and secure it with the nylon ties. Mount the sensor 3 at the appropri- ate position so that the center of the magnet 5 will align with the marked line on the sensor when the wheel is rotated. The computer is combined with the following parts. Installation of the Computer on Your Bike Tire size is usually shown on the sidewall of tires. You need to know the tire circumference (L cm) be- forehand. When you want to start the odometer from zero,.Used odometer, keep pressing the MODE button for two seconds and input the reading. When you want to input the reading of the currently.Select the measurement unit, kilometer or mile, by pushing the MODE button. (the screen will show the time measurement in this state) Setting is completed by pushing the SET button. You can easily set it by referring to the chart shown (the odometer starts from the reading you inputted) Stable measurement when you use this system for the first time and every time the battery is replaced. Push three buttons (MODE, START/ STOP and SET) at the same time. (For 1st use or after replacing the battery) Don’t use thinner, benzene or alcohol to wipe the surface of theĬomputer.Avoid unnecessary prolonged exposure to the sun.Keep batteries out of reach of small children.Periodically check to insure they are mounted securely and the screws are not loosen. Be sure to securely mount the magnet, the sensor, and theīracket on your bicycle.Pay attention to the road or trail! Do not be distracted by the.Of course, they don’t have the answer to the question that I’m asking, which is how do you restore data when you change batteries, and how do you restore the “average” and “maximum” functions - not just the “current?” And they don’t have an email form to ask a questions that’s not in the Knowledge Base. ![]() It features a “Knowledge Base” - a collection of frquently-asked questions and their answers. I have to be watching the thing to get it, and sometimes, I’m just too busy watching the road ahead to look down at the computer and see how fast I’m going.Ĭateye’s online site isn’t any help. But it sure would be nice to do that on the computer, and have it when I wanted it. I’ve got another way to compute average speed. Now, mostly, I’m only concerned with how far I went and how long it took. I don’t get average speed, or maximum speed, or average cadence. I get the current speed reading - in fact, I get all my currents, including elapsed time and cadence. But it didn’t work the way it was supposed to. It's wireless-speed and cadence sensor shown at right.Ĭateye’s manual says that when a battery is changed, all you have to do is hit a tiny AC (all clear) button on the back. I changed the one in the bike-mounted speed sensor, then changed the one in the detachable handlebar unit. A while back, I had to change the batteries on my cyclocomputer, a Cateye V2C. ![]() ![]() To confirm the expected scope of the SEO impact, including its impact on incoming traffic, we will be doing a test migration of a few dozen wikis in a few weeks. Migrating the domain is an action we are taking to resolve the risk, preempt future losses, recover some of that lost visibility, and then perhaps even grow the discoverability of your content on Gamepedia. With an average of four changes per year, the total annual loss of visibility for Gamepedia wikis is staggering, making it harder for your content on Gamepedia to find an audience. On average, each change Google has made has reduced visibility for Gamepedia wikis by up to 10%, while boosting Fandom wikis by up to 18%. This affects how readers, as well as future editors, find your wikis. Over these two years, changes to Google’s algorithms-meaning, the secret sauce Google uses to determine how pages show up and rank in their search results-have negatively affected Gamepedia’s search engine optimization (SEO). I know this is a big change, but that search result visibility makes it a necessary one. There are a number of reasons for this, but one of the primary ones is to ensure that Gamepedia wikis and the hard work editors put into them continue to rank well in search results. ![]() ![]() After nearly two years of working together to bring Fandom and Gamepedia wikis onto one platform, we will be starting to migrate all Gamepedia wikis to a domain in early 2021. Update (March 4th): Remaining Gamepedia wikis are beginning their migrations soon. ![]() ![]() ![]() Mathematicians have cared about the solutions to polynomial equations - combinations of variables raised to constant powers - since at least the ancient Greeks. The work is a technical achievement in its own right, and it opens the door to making progress on some of the most important questions in math in the imaginary setting. They improved the second step of Wiles,” said Chandrashekhar Khare of the University of California, Los Angeles. “That’s where the beautiful work of Caraiani and Newton came in. ![]() Imaginary numbers play a crucial role in mathematics because for many problems, they’re easier to work with than real numbers.īut proving that elliptic curves are modular over imaginary quadratic fields has long remained out of reach, because the techniques for proving modularity over real quadratic fields don’t work.Ĭaraiani and Newton achieved modularity - for all elliptic curves over about half of all imaginary quadratic fields - by figuring out how to adapt a process for proving modularity pioneered by Wiles and others to elliptic curves over imaginary quadratic fields. (This includes all the irrational numbers, like $latex \sqrt$. Quadratic fields are a mathematical steppingstone between the rational numbers and the real numbers, which include every possible decimal number, even those with infinite patterns to the right of the decimal point that never repeat. In 2013, three mathematicians including Samir Siksek of the University of Warwick proved that elliptic curves are also modular over real quadratic fields (meaning that the variables and coefficients are taken from a number system called a real quadratic field).Īs the advances mounted, one particular goal remained out of reach: proving that elliptic curves are modular over imaginary quadratic fields. In 2001 four mathematicians proved that all elliptic curves are modular over the rational numbers (whereas Wiles had only proved this for some curves). After his work, mathematicians endeavored to establish modularity in a broader variety of contexts. Wiles proved that certain kinds of elliptic curves are modular - meaning that there is a particular modular form that corresponds to each curve - when the two variables and two coefficients involved in defining the curve are all rational numbers, values that can be written as fractions. This past January, Ana Caraiani of Imperial College London and the University of Bonn and James Newton of the University of Oxford opened a new vein of research in this area when they proved that a relationship Wiles had established between elliptic curves and modular forms also holds for some mathematical objects called imaginary quadratic fields. It has involved understanding the relationship between certain kinds of polynomial equations called elliptic curves and more esoteric objects called modular forms, which burst to prominence in mathematics in 1994 when Andrew Wiles used them to prove Fermat’s Last Theorem, among the most celebrated results of 20th century mathematics. Over the past several decades, one of the most exciting lines of research in mathematics has followed this form. ![]() Instead, mathematicians find ways to connect the solutions to wildly abstract structures whose complexity encodes their secrets. But it is often impossible to do so by tinkering with the equation itself. How are prime numbers distributed in the integers? Are there perfect cubes (like 8 = 2 3 or 27 = 3 3) that can be written as the sum of two other cubes? More generally, mathematicians might want to solve an equation. Many complicated advances in research mathematics are spurred by a desire to understand some of the simplest questions about numbers. ![]() |
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